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Finding the Third Proportional to 5,526.09 and 12,082.97

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Solution

The third proportional to 5,526.09 and 12,082.97 is: 26,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.09 : 12,082.97 = 12,082.97 : x
  2. Step 2: Convert to fraction form
    5,526.09/12,082.97 = 12,082.97/x
  3. Step 3: Cross multiply
    5,526.09x = 12,082.97 × 12,082.97
  4. Step 4: Simplify right side
    5,526.09x = 145,998,133.81
  5. Step 5: Solve for x
    x = 145,998,133.81/5,526.09
  6. Step 6: Final answer
    x = 26,419.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.