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Finding the Third Proportional to 12,948.29 and 28,311.40

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Solution

The third proportional to 12,948.29 and 28,311.40 is: 61,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.29 : 28,311.40 = 28,311.40 : x
  2. Step 2: Convert to fraction form
    12,948.29/28,311.40 = 28,311.40/x
  3. Step 3: Cross multiply
    12,948.29x = 28,311.40 × 28,311.40
  4. Step 4: Simplify right side
    12,948.29x = 801,535,281.49
  5. Step 5: Solve for x
    x = 801,535,281.49/12,948.29
  6. Step 6: Final answer
    x = 61,902.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.