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Finding the Third Proportional to 25,584 and 39,468

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Solution

The third proportional to 25,584 and 39,468 is: 60,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584 : 39,468 = 39,468 : x
  2. Step 2: Convert to fraction form
    25,584/39,468 = 39,468/x
  3. Step 3: Cross multiply
    25,584x = 39,468 × 39,468
  4. Step 4: Simplify right side
    25,584x = 1,557,723,024
  5. Step 5: Solve for x
    x = 1,557,723,024/25,584
  6. Step 6: Final answer
    x = 60,886.61

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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.