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Finding the Third Proportional to 29,244 and 39,712

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Solution

The third proportional to 29,244 and 39,712 is: 53,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,244 : 39,712 = 39,712 : x
  2. Step 2: Convert to fraction form
    29,244/39,712 = 39,712/x
  3. Step 3: Cross multiply
    29,244x = 39,712 × 39,712
  4. Step 4: Simplify right side
    29,244x = 1,577,042,944
  5. Step 5: Solve for x
    x = 1,577,042,944/29,244
  6. Step 6: Final answer
    x = 53,927.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.