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Finding the Third Proportional to 16,561 and 25,586

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Solution

The third proportional to 16,561 and 25,586 is: 39,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561 : 25,586 = 25,586 : x
  2. Step 2: Convert to fraction form
    16,561/25,586 = 25,586/x
  3. Step 3: Cross multiply
    16,561x = 25,586 × 25,586
  4. Step 4: Simplify right side
    16,561x = 654,643,396
  5. Step 5: Solve for x
    x = 654,643,396/16,561
  6. Step 6: Final answer
    x = 39,529.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.