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Finding the Third Proportional to 40,729 and 63,065

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Solution

The third proportional to 40,729 and 63,065 is: 97,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,729 : 63,065 = 63,065 : x
  2. Step 2: Convert to fraction form
    40,729/63,065 = 63,065/x
  3. Step 3: Cross multiply
    40,729x = 63,065 × 63,065
  4. Step 4: Simplify right side
    40,729x = 3,977,194,225
  5. Step 5: Solve for x
    x = 3,977,194,225/40,729
  6. Step 6: Final answer
    x = 97,650.18

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Why These Related Problems?

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