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Finding the Third Proportional to 7,512.75 and 10,532.53

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Solution

The third proportional to 7,512.75 and 10,532.53 is: 14,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.75 : 10,532.53 = 10,532.53 : x
  2. Step 2: Convert to fraction form
    7,512.75/10,532.53 = 10,532.53/x
  3. Step 3: Cross multiply
    7,512.75x = 10,532.53 × 10,532.53
  4. Step 4: Simplify right side
    7,512.75x = 110,934,214.53
  5. Step 5: Solve for x
    x = 110,934,214.53/7,512.75
  6. Step 6: Final answer
    x = 14,766.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.