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Finding the Third Proportional to 24,343.50 and 31,007

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Solution

The third proportional to 24,343.50 and 31,007 is: 39,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.50 : 31,007 = 31,007 : x
  2. Step 2: Convert to fraction form
    24,343.50/31,007 = 31,007/x
  3. Step 3: Cross multiply
    24,343.50x = 31,007 × 31,007
  4. Step 4: Simplify right side
    24,343.50x = 961,434,049
  5. Step 5: Solve for x
    x = 961,434,049/24,343.50
  6. Step 6: Final answer
    x = 39,494.49

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.