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Finding the Third Proportional to 13,672.13 and 22,695.19

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Solution

The third proportional to 13,672.13 and 22,695.19 is: 37,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.13 : 22,695.19 = 22,695.19 : x
  2. Step 2: Convert to fraction form
    13,672.13/22,695.19 = 22,695.19/x
  3. Step 3: Cross multiply
    13,672.13x = 22,695.19 × 22,695.19
  4. Step 4: Simplify right side
    13,672.13x = 515,071,535.66
  5. Step 5: Solve for x
    x = 515,071,535.66/13,672.13
  6. Step 6: Final answer
    x = 37,673.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.