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Finding the Third Proportional to 10,232.25 and 15,834

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Solution

The third proportional to 10,232.25 and 15,834 is: 24,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.25 : 15,834 = 15,834 : x
  2. Step 2: Convert to fraction form
    10,232.25/15,834 = 15,834/x
  3. Step 3: Cross multiply
    10,232.25x = 15,834 × 15,834
  4. Step 4: Simplify right side
    10,232.25x = 250,715,556
  5. Step 5: Solve for x
    x = 250,715,556/10,232.25
  6. Step 6: Final answer
    x = 24,502.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.