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Finding the Third Proportional to 15,920 and 25,102

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Solution

The third proportional to 15,920 and 25,102 is: 39,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 25,102 = 25,102 : x
  2. Step 2: Convert to fraction form
    15,920/25,102 = 25,102/x
  3. Step 3: Cross multiply
    15,920x = 25,102 × 25,102
  4. Step 4: Simplify right side
    15,920x = 630,110,404
  5. Step 5: Solve for x
    x = 630,110,404/15,920
  6. Step 6: Final answer
    x = 39,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.