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Finding the Third Proportional to 40,680.25 and 62,983.25

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Solution

The third proportional to 40,680.25 and 62,983.25 is: 97,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,680.25 : 62,983.25 = 62,983.25 : x
  2. Step 2: Convert to fraction form
    40,680.25/62,983.25 = 62,983.25/x
  3. Step 3: Cross multiply
    40,680.25x = 62,983.25 × 62,983.25
  4. Step 4: Simplify right side
    40,680.25x = 3,966,889,780.56
  5. Step 5: Solve for x
    x = 3,966,889,780.56/40,680.25
  6. Step 6: Final answer
    x = 97,513.90

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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.