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Finding the Third Proportional to 25,570 and 38,751

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Solution

The third proportional to 25,570 and 38,751 is: 58,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570 : 38,751 = 38,751 : x
  2. Step 2: Convert to fraction form
    25,570/38,751 = 38,751/x
  3. Step 3: Cross multiply
    25,570x = 38,751 × 38,751
  4. Step 4: Simplify right side
    25,570x = 1,501,640,001
  5. Step 5: Solve for x
    x = 1,501,640,001/25,570
  6. Step 6: Final answer
    x = 58,726.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.