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Finding the Third Proportional to 13,397.25 and 29,100.38

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Solution

The third proportional to 13,397.25 and 29,100.38 is: 63,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.25 : 29,100.38 = 29,100.38 : x
  2. Step 2: Convert to fraction form
    13,397.25/29,100.38 = 29,100.38/x
  3. Step 3: Cross multiply
    13,397.25x = 29,100.38 × 29,100.38
  4. Step 4: Simplify right side
    13,397.25x = 846,831,825.14
  5. Step 5: Solve for x
    x = 846,831,825.14/13,397.25
  6. Step 6: Final answer
    x = 63,209.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.