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Finding the Third Proportional to 13,534.03 and 20,829.38

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Solution

The third proportional to 13,534.03 and 20,829.38 is: 32,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.03 : 20,829.38 = 20,829.38 : x
  2. Step 2: Convert to fraction form
    13,534.03/20,829.38 = 20,829.38/x
  3. Step 3: Cross multiply
    13,534.03x = 20,829.38 × 20,829.38
  4. Step 4: Simplify right side
    13,534.03x = 433,862,862.89
  5. Step 5: Solve for x
    x = 433,862,862.89/13,534.03
  6. Step 6: Final answer
    x = 32,057.18

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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.