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Finding the Third Proportional to 1,104.47 and 1,587.94

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Solution

The third proportional to 1,104.47 and 1,587.94 is: 2,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.47 : 1,587.94 = 1,587.94 : x
  2. Step 2: Convert to fraction form
    1,104.47/1,587.94 = 1,587.94/x
  3. Step 3: Cross multiply
    1,104.47x = 1,587.94 × 1,587.94
  4. Step 4: Simplify right side
    1,104.47x = 2,521,545.50
  5. Step 5: Solve for x
    x = 2,521,545.50/1,104.47
  6. Step 6: Final answer
    x = 2,283.04

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