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Finding the Third Proportional to 5,312.25 and 12,549.38

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Solution

The third proportional to 5,312.25 and 12,549.38 is: 29,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.25 : 12,549.38 = 12,549.38 : x
  2. Step 2: Convert to fraction form
    5,312.25/12,549.38 = 12,549.38/x
  3. Step 3: Cross multiply
    5,312.25x = 12,549.38 × 12,549.38
  4. Step 4: Simplify right side
    5,312.25x = 157,486,812.89
  5. Step 5: Solve for x
    x = 157,486,812.89/5,312.25
  6. Step 6: Final answer
    x = 29,645.97

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.