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Finding the Third Proportional to 5,767.53 and 12,535.53

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Solution

The third proportional to 5,767.53 and 12,535.53 is: 27,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.53 : 12,535.53 = 12,535.53 : x
  2. Step 2: Convert to fraction form
    5,767.53/12,535.53 = 12,535.53/x
  3. Step 3: Cross multiply
    5,767.53x = 12,535.53 × 12,535.53
  4. Step 4: Simplify right side
    5,767.53x = 157,139,543.72
  5. Step 5: Solve for x
    x = 157,139,543.72/5,767.53
  6. Step 6: Final answer
    x = 27,245.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.