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Finding the Third Proportional to 30,732.38 and 48,000.75

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Solution

The third proportional to 30,732.38 and 48,000.75 is: 74,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.38 : 48,000.75 = 48,000.75 : x
  2. Step 2: Convert to fraction form
    30,732.38/48,000.75 = 48,000.75/x
  3. Step 3: Cross multiply
    30,732.38x = 48,000.75 × 48,000.75
  4. Step 4: Simplify right side
    30,732.38x = 2,304,072,000.56
  5. Step 5: Solve for x
    x = 2,304,072,000.56/30,732.38
  6. Step 6: Final answer
    x = 74,972.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.