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Finding the Third Proportional to 8,702.44 and 15,172.31

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Solution

The third proportional to 8,702.44 and 15,172.31 is: 26,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.44 : 15,172.31 = 15,172.31 : x
  2. Step 2: Convert to fraction form
    8,702.44/15,172.31 = 15,172.31/x
  3. Step 3: Cross multiply
    8,702.44x = 15,172.31 × 15,172.31
  4. Step 4: Simplify right side
    8,702.44x = 230,199,066.60
  5. Step 5: Solve for x
    x = 230,199,066.60/8,702.44
  6. Step 6: Final answer
    x = 26,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.