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Finding the Third Proportional to 31,886.72 and 69,514.59

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Solution

The third proportional to 31,886.72 and 69,514.59 is: 151,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.72 : 69,514.59 = 69,514.59 : x
  2. Step 2: Convert to fraction form
    31,886.72/69,514.59 = 69,514.59/x
  3. Step 3: Cross multiply
    31,886.72x = 69,514.59 × 69,514.59
  4. Step 4: Simplify right side
    31,886.72x = 4,832,278,744.23
  5. Step 5: Solve for x
    x = 4,832,278,744.23/31,886.72
  6. Step 6: Final answer
    x = 151,545.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.