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Finding the Third Proportional to 13,534.31 and 28,549.69

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Solution

The third proportional to 13,534.31 and 28,549.69 is: 60,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.31 : 28,549.69 = 28,549.69 : x
  2. Step 2: Convert to fraction form
    13,534.31/28,549.69 = 28,549.69/x
  3. Step 3: Cross multiply
    13,534.31x = 28,549.69 × 28,549.69
  4. Step 4: Simplify right side
    13,534.31x = 815,084,656.35
  5. Step 5: Solve for x
    x = 815,084,656.35/13,534.31
  6. Step 6: Final answer
    x = 60,223.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.