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Finding the Third Proportional to 29,510 and 63,937

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Solution

The third proportional to 29,510 and 63,937 is: 138,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,510 : 63,937 = 63,937 : x
  2. Step 2: Convert to fraction form
    29,510/63,937 = 63,937/x
  3. Step 3: Cross multiply
    29,510x = 63,937 × 63,937
  4. Step 4: Simplify right side
    29,510x = 4,087,939,969
  5. Step 5: Solve for x
    x = 4,087,939,969/29,510
  6. Step 6: Final answer
    x = 138,527.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.