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Finding the Third Proportional to 30,186 and 48,148.50

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Solution

The third proportional to 30,186 and 48,148.50 is: 76,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186 : 48,148.50 = 48,148.50 : x
  2. Step 2: Convert to fraction form
    30,186/48,148.50 = 48,148.50/x
  3. Step 3: Cross multiply
    30,186x = 48,148.50 × 48,148.50
  4. Step 4: Simplify right side
    30,186x = 2,318,278,052.25
  5. Step 5: Solve for x
    x = 2,318,278,052.25/30,186
  6. Step 6: Final answer
    x = 76,799.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.