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Finding the Third Proportional to 6,526.13 and 9,942.19

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Solution

The third proportional to 6,526.13 and 9,942.19 is: 15,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.13 : 9,942.19 = 9,942.19 : x
  2. Step 2: Convert to fraction form
    6,526.13/9,942.19 = 9,942.19/x
  3. Step 3: Cross multiply
    6,526.13x = 9,942.19 × 9,942.19
  4. Step 4: Simplify right side
    6,526.13x = 98,847,092.29
  5. Step 5: Solve for x
    x = 98,847,092.29/6,526.13
  6. Step 6: Final answer
    x = 15,146.37

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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.