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Finding the Third Proportional to 12,719.53 and 27,948.80

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Solution

The third proportional to 12,719.53 and 27,948.80 is: 61,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.53 : 27,948.80 = 27,948.80 : x
  2. Step 2: Convert to fraction form
    12,719.53/27,948.80 = 27,948.80/x
  3. Step 3: Cross multiply
    12,719.53x = 27,948.80 × 27,948.80
  4. Step 4: Simplify right side
    12,719.53x = 781,135,246.76
  5. Step 5: Solve for x
    x = 781,135,246.76/12,719.53
  6. Step 6: Final answer
    x = 61,412.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.