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Finding the Third Proportional to 1,052.13 and 1,571.69

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Solution

The third proportional to 1,052.13 and 1,571.69 is: 2,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.13 : 1,571.69 = 1,571.69 : x
  2. Step 2: Convert to fraction form
    1,052.13/1,571.69 = 1,571.69/x
  3. Step 3: Cross multiply
    1,052.13x = 1,571.69 × 1,571.69
  4. Step 4: Simplify right side
    1,052.13x = 2,470,201.60
  5. Step 5: Solve for x
    x = 2,470,201.60/1,052.13
  6. Step 6: Final answer
    x = 2,347.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.