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Finding the Third Proportional to 1,144.13 and 1,711.76

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Solution

The third proportional to 1,144.13 and 1,711.76 is: 2,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.13 : 1,711.76 = 1,711.76 : x
  2. Step 2: Convert to fraction form
    1,144.13/1,711.76 = 1,711.76/x
  3. Step 3: Cross multiply
    1,144.13x = 1,711.76 × 1,711.76
  4. Step 4: Simplify right side
    1,144.13x = 2,930,114.81
  5. Step 5: Solve for x
    x = 2,930,114.81/1,144.13
  6. Step 6: Final answer
    x = 2,561.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.