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Finding the Third Proportional to 16,331 and 25,010

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Solution

The third proportional to 16,331 and 25,010 is: 38,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331 : 25,010 = 25,010 : x
  2. Step 2: Convert to fraction form
    16,331/25,010 = 25,010/x
  3. Step 3: Cross multiply
    16,331x = 25,010 × 25,010
  4. Step 4: Simplify right side
    16,331x = 625,500,100
  5. Step 5: Solve for x
    x = 625,500,100/16,331
  6. Step 6: Final answer
    x = 38,301.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.