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Finding the Third Proportional to 30,942 and 48,029

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Solution

The third proportional to 30,942 and 48,029 is: 74,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 48,029 = 48,029 : x
  2. Step 2: Convert to fraction form
    30,942/48,029 = 48,029/x
  3. Step 3: Cross multiply
    30,942x = 48,029 × 48,029
  4. Step 4: Simplify right side
    30,942x = 2,306,784,841
  5. Step 5: Solve for x
    x = 2,306,784,841/30,942
  6. Step 6: Final answer
    x = 74,551.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.