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Finding the Third Proportional to 14,531.91 and 15,898.78

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Solution

The third proportional to 14,531.91 and 15,898.78 is: 17,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.91 : 15,898.78 = 15,898.78 : x
  2. Step 2: Convert to fraction form
    14,531.91/15,898.78 = 15,898.78/x
  3. Step 3: Cross multiply
    14,531.91x = 15,898.78 × 15,898.78
  4. Step 4: Simplify right side
    14,531.91x = 252,771,245.24
  5. Step 5: Solve for x
    x = 252,771,245.24/14,531.91
  6. Step 6: Final answer
    x = 17,394.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.