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Finding the Third Proportional to 15,613.50 and 23,943

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Solution

The third proportional to 15,613.50 and 23,943 is: 36,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.50 : 23,943 = 23,943 : x
  2. Step 2: Convert to fraction form
    15,613.50/23,943 = 23,943/x
  3. Step 3: Cross multiply
    15,613.50x = 23,943 × 23,943
  4. Step 4: Simplify right side
    15,613.50x = 573,267,249
  5. Step 5: Solve for x
    x = 573,267,249/15,613.50
  6. Step 6: Final answer
    x = 36,716.13

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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.