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Finding the Third Proportional to 13,534.17 and 20,829.66

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Solution

The third proportional to 13,534.17 and 20,829.66 is: 32,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.17 : 20,829.66 = 20,829.66 : x
  2. Step 2: Convert to fraction form
    13,534.17/20,829.66 = 20,829.66/x
  3. Step 3: Cross multiply
    13,534.17x = 20,829.66 × 20,829.66
  4. Step 4: Simplify right side
    13,534.17x = 433,874,579.49
  5. Step 5: Solve for x
    x = 433,874,579.49/13,534.17
  6. Step 6: Final answer
    x = 32,057.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.