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Finding the Third Proportional to 1,111.94 and 1,610.53

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Solution

The third proportional to 1,111.94 and 1,610.53 is: 2,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.94 : 1,610.53 = 1,610.53 : x
  2. Step 2: Convert to fraction form
    1,111.94/1,610.53 = 1,610.53/x
  3. Step 3: Cross multiply
    1,111.94x = 1,610.53 × 1,610.53
  4. Step 4: Simplify right side
    1,111.94x = 2,593,810.91
  5. Step 5: Solve for x
    x = 2,593,810.91/1,111.94
  6. Step 6: Final answer
    x = 2,332.69

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.