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Finding the Third Proportional to 19,862.72 and 41,342.91

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Solution

The third proportional to 19,862.72 and 41,342.91 is: 86,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.72 : 41,342.91 = 41,342.91 : x
  2. Step 2: Convert to fraction form
    19,862.72/41,342.91 = 41,342.91/x
  3. Step 3: Cross multiply
    19,862.72x = 41,342.91 × 41,342.91
  4. Step 4: Simplify right side
    19,862.72x = 1,709,235,897.20
  5. Step 5: Solve for x
    x = 1,709,235,897.20/19,862.72
  6. Step 6: Final answer
    x = 86,052.46

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.