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Finding the Third Proportional to 13,569.75 and 29,460.09

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Solution

The third proportional to 13,569.75 and 29,460.09 is: 63,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.75 : 29,460.09 = 29,460.09 : x
  2. Step 2: Convert to fraction form
    13,569.75/29,460.09 = 29,460.09/x
  3. Step 3: Cross multiply
    13,569.75x = 29,460.09 × 29,460.09
  4. Step 4: Simplify right side
    13,569.75x = 867,897,123.76
  5. Step 5: Solve for x
    x = 867,897,123.76/13,569.75
  6. Step 6: Final answer
    x = 63,958.23

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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.