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Finding the Third Proportional to 13,577.75 and 29,053.75

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Solution

The third proportional to 13,577.75 and 29,053.75 is: 62,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.75 : 29,053.75 = 29,053.75 : x
  2. Step 2: Convert to fraction form
    13,577.75/29,053.75 = 29,053.75/x
  3. Step 3: Cross multiply
    13,577.75x = 29,053.75 × 29,053.75
  4. Step 4: Simplify right side
    13,577.75x = 844,120,389.06
  5. Step 5: Solve for x
    x = 844,120,389.06/13,577.75
  6. Step 6: Final answer
    x = 62,169.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.