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Finding the Third Proportional to 13,592.81 and 29,945.95

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Solution

The third proportional to 13,592.81 and 29,945.95 is: 65,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.81 : 29,945.95 = 29,945.95 : x
  2. Step 2: Convert to fraction form
    13,592.81/29,945.95 = 29,945.95/x
  3. Step 3: Cross multiply
    13,592.81x = 29,945.95 × 29,945.95
  4. Step 4: Simplify right side
    13,592.81x = 896,760,108.56
  5. Step 5: Solve for x
    x = 896,760,108.56/13,592.81
  6. Step 6: Final answer
    x = 65,973.11

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Why These Related Problems?

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