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Finding the Third Proportional to 5,954.77 and 12,701.18

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Solution

The third proportional to 5,954.77 and 12,701.18 is: 27,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.77 : 12,701.18 = 12,701.18 : x
  2. Step 2: Convert to fraction form
    5,954.77/12,701.18 = 12,701.18/x
  3. Step 3: Cross multiply
    5,954.77x = 12,701.18 × 12,701.18
  4. Step 4: Simplify right side
    5,954.77x = 161,319,965.45
  5. Step 5: Solve for x
    x = 161,319,965.45/5,954.77
  6. Step 6: Final answer
    x = 27,090.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.