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Finding the Third Proportional to 16,159.50 and 24,256.97

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Solution

The third proportional to 16,159.50 and 24,256.97 is: 36,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.50 : 24,256.97 = 24,256.97 : x
  2. Step 2: Convert to fraction form
    16,159.50/24,256.97 = 24,256.97/x
  3. Step 3: Cross multiply
    16,159.50x = 24,256.97 × 24,256.97
  4. Step 4: Simplify right side
    16,159.50x = 588,400,532.94
  5. Step 5: Solve for x
    x = 588,400,532.94/16,159.50
  6. Step 6: Final answer
    x = 36,412.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.