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Finding the Third Proportional to 1,488.38 and 1,957.92

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Solution

The third proportional to 1,488.38 and 1,957.92 is: 2,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.38 : 1,957.92 = 1,957.92 : x
  2. Step 2: Convert to fraction form
    1,488.38/1,957.92 = 1,957.92/x
  3. Step 3: Cross multiply
    1,488.38x = 1,957.92 × 1,957.92
  4. Step 4: Simplify right side
    1,488.38x = 3,833,458.07
  5. Step 5: Solve for x
    x = 3,833,458.07/1,488.38
  6. Step 6: Final answer
    x = 2,575.60

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.