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Finding the Third Proportional to 549.25 and 1,187.13

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Solution

The third proportional to 549.25 and 1,187.13 is: 2,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 1,187.13 = 1,187.13 : x
  2. Step 2: Convert to fraction form
    549.25/1,187.13 = 1,187.13/x
  3. Step 3: Cross multiply
    549.25x = 1,187.13 × 1,187.13
  4. Step 4: Simplify right side
    549.25x = 1,409,265.77
  5. Step 5: Solve for x
    x = 1,409,265.77/549.25
  6. Step 6: Final answer
    x = 2,565.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.