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Finding the Third Proportional to 14,527.69 and 31,819.08

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Solution

The third proportional to 14,527.69 and 31,819.08 is: 69,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.69 : 31,819.08 = 31,819.08 : x
  2. Step 2: Convert to fraction form
    14,527.69/31,819.08 = 31,819.08/x
  3. Step 3: Cross multiply
    14,527.69x = 31,819.08 × 31,819.08
  4. Step 4: Simplify right side
    14,527.69x = 1,012,453,732.72
  5. Step 5: Solve for x
    x = 1,012,453,732.72/14,527.69
  6. Step 6: Final answer
    x = 69,691.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.