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Finding the Third Proportional to 40,348 and 62,732

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Solution

The third proportional to 40,348 and 62,732 is: 97,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348 : 62,732 = 62,732 : x
  2. Step 2: Convert to fraction form
    40,348/62,732 = 62,732/x
  3. Step 3: Cross multiply
    40,348x = 62,732 × 62,732
  4. Step 4: Simplify right side
    40,348x = 3,935,303,824
  5. Step 5: Solve for x
    x = 3,935,303,824/40,348
  6. Step 6: Final answer
    x = 97,534.05

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