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Finding the Third Proportional to 9,132.75 and 9,915.75

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Solution

The third proportional to 9,132.75 and 9,915.75 is: 10,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.75 : 9,915.75 = 9,915.75 : x
  2. Step 2: Convert to fraction form
    9,132.75/9,915.75 = 9,915.75/x
  3. Step 3: Cross multiply
    9,132.75x = 9,915.75 × 9,915.75
  4. Step 4: Simplify right side
    9,132.75x = 98,322,098.06
  5. Step 5: Solve for x
    x = 98,322,098.06/9,132.75
  6. Step 6: Final answer
    x = 10,765.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.