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Finding the Third Proportional to 1,062.00 and 1,561.76

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Solution

The third proportional to 1,062.00 and 1,561.76 is: 2,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.00 : 1,561.76 = 1,561.76 : x
  2. Step 2: Convert to fraction form
    1,062.00/1,561.76 = 1,561.76/x
  3. Step 3: Cross multiply
    1,062.00x = 1,561.76 × 1,561.76
  4. Step 4: Simplify right side
    1,062.00x = 2,439,098.90
  5. Step 5: Solve for x
    x = 2,439,098.90/1,062.00
  6. Step 6: Final answer
    x = 2,296.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.