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Finding the Third Proportional to 8,002.13 and 11,526.56

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Solution

The third proportional to 8,002.13 and 11,526.56 is: 16,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 11,526.56 = 11,526.56 : x
  2. Step 2: Convert to fraction form
    8,002.13/11,526.56 = 11,526.56/x
  3. Step 3: Cross multiply
    8,002.13x = 11,526.56 × 11,526.56
  4. Step 4: Simplify right side
    8,002.13x = 132,861,643.07
  5. Step 5: Solve for x
    x = 132,861,643.07/8,002.13
  6. Step 6: Final answer
    x = 16,603.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.