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Finding the Third Proportional to 37,740 and 48,402

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Solution

The third proportional to 37,740 and 48,402 is: 62,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740 : 48,402 = 48,402 : x
  2. Step 2: Convert to fraction form
    37,740/48,402 = 48,402/x
  3. Step 3: Cross multiply
    37,740x = 48,402 × 48,402
  4. Step 4: Simplify right side
    37,740x = 2,342,753,604
  5. Step 5: Solve for x
    x = 2,342,753,604/37,740
  6. Step 6: Final answer
    x = 62,076.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.