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Finding the Third Proportional to 9,082.13 and 22,614.19

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Solution

The third proportional to 9,082.13 and 22,614.19 is: 56,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.13 : 22,614.19 = 22,614.19 : x
  2. Step 2: Convert to fraction form
    9,082.13/22,614.19 = 22,614.19/x
  3. Step 3: Cross multiply
    9,082.13x = 22,614.19 × 22,614.19
  4. Step 4: Simplify right side
    9,082.13x = 511,401,476.29
  5. Step 5: Solve for x
    x = 511,401,476.29/9,082.13
  6. Step 6: Final answer
    x = 56,308.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.