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Finding the Third Proportional to 11,695.50 and 25,726.22

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Solution

The third proportional to 11,695.50 and 25,726.22 is: 56,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.50 : 25,726.22 = 25,726.22 : x
  2. Step 2: Convert to fraction form
    11,695.50/25,726.22 = 25,726.22/x
  3. Step 3: Cross multiply
    11,695.50x = 25,726.22 × 25,726.22
  4. Step 4: Simplify right side
    11,695.50x = 661,838,331.17
  5. Step 5: Solve for x
    x = 661,838,331.17/11,695.50
  6. Step 6: Final answer
    x = 56,589.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.