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Finding the Third Proportional to 8,487 and 13,052.25

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Solution

The third proportional to 8,487 and 13,052.25 is: 20,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487 : 13,052.25 = 13,052.25 : x
  2. Step 2: Convert to fraction form
    8,487/13,052.25 = 13,052.25/x
  3. Step 3: Cross multiply
    8,487x = 13,052.25 × 13,052.25
  4. Step 4: Simplify right side
    8,487x = 170,361,230.06
  5. Step 5: Solve for x
    x = 170,361,230.06/8,487
  6. Step 6: Final answer
    x = 20,073.20

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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.