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Finding the Third Proportional to 1,172.52 and 1,703.61

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Solution

The third proportional to 1,172.52 and 1,703.61 is: 2,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.52 : 1,703.61 = 1,703.61 : x
  2. Step 2: Convert to fraction form
    1,172.52/1,703.61 = 1,703.61/x
  3. Step 3: Cross multiply
    1,172.52x = 1,703.61 × 1,703.61
  4. Step 4: Simplify right side
    1,172.52x = 2,902,288.23
  5. Step 5: Solve for x
    x = 2,902,288.23/1,172.52
  6. Step 6: Final answer
    x = 2,475.25

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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.