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Finding the Third Proportional to 13,584.38 and 29,500.88

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Solution

The third proportional to 13,584.38 and 29,500.88 is: 64,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.38 : 29,500.88 = 29,500.88 : x
  2. Step 2: Convert to fraction form
    13,584.38/29,500.88 = 29,500.88/x
  3. Step 3: Cross multiply
    13,584.38x = 29,500.88 × 29,500.88
  4. Step 4: Simplify right side
    13,584.38x = 870,301,625.77
  5. Step 5: Solve for x
    x = 870,301,625.77/13,584.38
  6. Step 6: Final answer
    x = 64,066.37

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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.