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Finding the Third Proportional to 12,742.95 and 27,331.80

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Solution

The third proportional to 12,742.95 and 27,331.80 is: 58,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.95 : 27,331.80 = 27,331.80 : x
  2. Step 2: Convert to fraction form
    12,742.95/27,331.80 = 27,331.80/x
  3. Step 3: Cross multiply
    12,742.95x = 27,331.80 × 27,331.80
  4. Step 4: Simplify right side
    12,742.95x = 747,027,547.48
  5. Step 5: Solve for x
    x = 747,027,547.48/12,742.95
  6. Step 6: Final answer
    x = 58,622.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.