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Finding the Third Proportional to 40,870 and 63,145

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Solution

The third proportional to 40,870 and 63,145 is: 97,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,870 : 63,145 = 63,145 : x
  2. Step 2: Convert to fraction form
    40,870/63,145 = 63,145/x
  3. Step 3: Cross multiply
    40,870x = 63,145 × 63,145
  4. Step 4: Simplify right side
    40,870x = 3,987,291,025
  5. Step 5: Solve for x
    x = 3,987,291,025/40,870
  6. Step 6: Final answer
    x = 97,560.34

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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.