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Finding the Third Proportional to 13,876.13 and 29,969.25

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Solution

The third proportional to 13,876.13 and 29,969.25 is: 64,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.13 : 29,969.25 = 29,969.25 : x
  2. Step 2: Convert to fraction form
    13,876.13/29,969.25 = 29,969.25/x
  3. Step 3: Cross multiply
    13,876.13x = 29,969.25 × 29,969.25
  4. Step 4: Simplify right side
    13,876.13x = 898,155,945.56
  5. Step 5: Solve for x
    x = 898,155,945.56/13,876.13
  6. Step 6: Final answer
    x = 64,726.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.