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Finding the Third Proportional to 13,513.50 and 29,487.38

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Solution

The third proportional to 13,513.50 and 29,487.38 is: 64,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.50 : 29,487.38 = 29,487.38 : x
  2. Step 2: Convert to fraction form
    13,513.50/29,487.38 = 29,487.38/x
  3. Step 3: Cross multiply
    13,513.50x = 29,487.38 × 29,487.38
  4. Step 4: Simplify right side
    13,513.50x = 869,505,284.39
  5. Step 5: Solve for x
    x = 869,505,284.39/13,513.50
  6. Step 6: Final answer
    x = 64,343.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.