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Finding the Third Proportional to 5,962.31 and 12,948.94

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Solution

The third proportional to 5,962.31 and 12,948.94 is: 28,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.31 : 12,948.94 = 12,948.94 : x
  2. Step 2: Convert to fraction form
    5,962.31/12,948.94 = 12,948.94/x
  3. Step 3: Cross multiply
    5,962.31x = 12,948.94 × 12,948.94
  4. Step 4: Simplify right side
    5,962.31x = 167,674,982.38
  5. Step 5: Solve for x
    x = 167,674,982.38/5,962.31
  6. Step 6: Final answer
    x = 28,122.47

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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.