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Finding the Third Proportional to 1,712.71 and 2,362.61

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Solution

The third proportional to 1,712.71 and 2,362.61 is: 3,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.71 : 2,362.61 = 2,362.61 : x
  2. Step 2: Convert to fraction form
    1,712.71/2,362.61 = 2,362.61/x
  3. Step 3: Cross multiply
    1,712.71x = 2,362.61 × 2,362.61
  4. Step 4: Simplify right side
    1,712.71x = 5,581,904.60
  5. Step 5: Solve for x
    x = 5,581,904.60/1,712.71
  6. Step 6: Final answer
    x = 3,259.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.