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Finding the Third Proportional to 24,349 and 32,514

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Solution

The third proportional to 24,349 and 32,514 is: 43,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349 : 32,514 = 32,514 : x
  2. Step 2: Convert to fraction form
    24,349/32,514 = 32,514/x
  3. Step 3: Cross multiply
    24,349x = 32,514 × 32,514
  4. Step 4: Simplify right side
    24,349x = 1,057,160,196
  5. Step 5: Solve for x
    x = 1,057,160,196/24,349
  6. Step 6: Final answer
    x = 43,416.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.