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Finding the Third Proportional to 40,652 and 63,356

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Solution

The third proportional to 40,652 and 63,356 is: 98,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,652 : 63,356 = 63,356 : x
  2. Step 2: Convert to fraction form
    40,652/63,356 = 63,356/x
  3. Step 3: Cross multiply
    40,652x = 63,356 × 63,356
  4. Step 4: Simplify right side
    40,652x = 4,013,982,736
  5. Step 5: Solve for x
    x = 4,013,982,736/40,652
  6. Step 6: Final answer
    x = 98,740.10

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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.