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Finding the Third Proportional to 9,082.13 and 11,466.56

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Solution

The third proportional to 9,082.13 and 11,466.56 is: 14,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.13 : 11,466.56 = 11,466.56 : x
  2. Step 2: Convert to fraction form
    9,082.13/11,466.56 = 11,466.56/x
  3. Step 3: Cross multiply
    9,082.13x = 11,466.56 × 11,466.56
  4. Step 4: Simplify right side
    9,082.13x = 131,482,055.57
  5. Step 5: Solve for x
    x = 131,482,055.57/9,082.13
  6. Step 6: Final answer
    x = 14,477.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.