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Finding the Third Proportional to 27,064.13 and 42,514.88

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Solution

The third proportional to 27,064.13 and 42,514.88 is: 66,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 42,514.88 = 42,514.88 : x
  2. Step 2: Convert to fraction form
    27,064.13/42,514.88 = 42,514.88/x
  3. Step 3: Cross multiply
    27,064.13x = 42,514.88 × 42,514.88
  4. Step 4: Simplify right side
    27,064.13x = 1,807,514,596.27
  5. Step 5: Solve for x
    x = 1,807,514,596.27/27,064.13
  6. Step 6: Final answer
    x = 66,786.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.