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Finding the Third Proportional to 14,432.25 and 31,530

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Solution

The third proportional to 14,432.25 and 31,530 is: 68,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.25 : 31,530 = 31,530 : x
  2. Step 2: Convert to fraction form
    14,432.25/31,530 = 31,530/x
  3. Step 3: Cross multiply
    14,432.25x = 31,530 × 31,530
  4. Step 4: Simplify right side
    14,432.25x = 994,140,900
  5. Step 5: Solve for x
    x = 994,140,900/14,432.25
  6. Step 6: Final answer
    x = 68,883.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.