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Finding the Third Proportional to 1,156.73 and 1,862.83

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Solution

The third proportional to 1,156.73 and 1,862.83 is: 2,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.73 : 1,862.83 = 1,862.83 : x
  2. Step 2: Convert to fraction form
    1,156.73/1,862.83 = 1,862.83/x
  3. Step 3: Cross multiply
    1,156.73x = 1,862.83 × 1,862.83
  4. Step 4: Simplify right side
    1,156.73x = 3,470,151.93
  5. Step 5: Solve for x
    x = 3,470,151.93/1,156.73
  6. Step 6: Final answer
    x = 2,999.98

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.