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Finding the Third Proportional to 16,563 and 25,587

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Solution

The third proportional to 16,563 and 25,587 is: 39,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563 : 25,587 = 25,587 : x
  2. Step 2: Convert to fraction form
    16,563/25,587 = 25,587/x
  3. Step 3: Cross multiply
    16,563x = 25,587 × 25,587
  4. Step 4: Simplify right side
    16,563x = 654,694,569
  5. Step 5: Solve for x
    x = 654,694,569/16,563
  6. Step 6: Final answer
    x = 39,527.54

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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.