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Finding the Third Proportional to 1,139.86 and 1,629.98

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Solution

The third proportional to 1,139.86 and 1,629.98 is: 2,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.86 : 1,629.98 = 1,629.98 : x
  2. Step 2: Convert to fraction form
    1,139.86/1,629.98 = 1,629.98/x
  3. Step 3: Cross multiply
    1,139.86x = 1,629.98 × 1,629.98
  4. Step 4: Simplify right side
    1,139.86x = 2,656,849.06
  5. Step 5: Solve for x
    x = 2,656,849.06/1,139.86
  6. Step 6: Final answer
    x = 2,330.86

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.