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Finding the Third Proportional to 6,528.56 and 9,945.84

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Solution

The third proportional to 6,528.56 and 9,945.84 is: 15,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.56 : 9,945.84 = 9,945.84 : x
  2. Step 2: Convert to fraction form
    6,528.56/9,945.84 = 9,945.84/x
  3. Step 3: Cross multiply
    6,528.56x = 9,945.84 × 9,945.84
  4. Step 4: Simplify right side
    6,528.56x = 98,919,807.90
  5. Step 5: Solve for x
    x = 98,919,807.90/6,528.56
  6. Step 6: Final answer
    x = 15,151.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.