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Finding the Third Proportional to 12,720.66 and 27,703.83

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Solution

The third proportional to 12,720.66 and 27,703.83 is: 60,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.66 : 27,703.83 = 27,703.83 : x
  2. Step 2: Convert to fraction form
    12,720.66/27,703.83 = 27,703.83/x
  3. Step 3: Cross multiply
    12,720.66x = 27,703.83 × 27,703.83
  4. Step 4: Simplify right side
    12,720.66x = 767,502,092.78
  5. Step 5: Solve for x
    x = 767,502,092.78/12,720.66
  6. Step 6: Final answer
    x = 60,335.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.