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Finding the Third Proportional to 40,370 and 63,007

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Solution

The third proportional to 40,370 and 63,007 is: 98,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,370 : 63,007 = 63,007 : x
  2. Step 2: Convert to fraction form
    40,370/63,007 = 63,007/x
  3. Step 3: Cross multiply
    40,370x = 63,007 × 63,007
  4. Step 4: Simplify right side
    40,370x = 3,969,882,049
  5. Step 5: Solve for x
    x = 3,969,882,049/40,370
  6. Step 6: Final answer
    x = 98,337.43

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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.