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Finding the Third Proportional to 14,142.13 and 27,927.44

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Solution

The third proportional to 14,142.13 and 27,927.44 is: 55,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.13 : 27,927.44 = 27,927.44 : x
  2. Step 2: Convert to fraction form
    14,142.13/27,927.44 = 27,927.44/x
  3. Step 3: Cross multiply
    14,142.13x = 27,927.44 × 27,927.44
  4. Step 4: Simplify right side
    14,142.13x = 779,941,765.32
  5. Step 5: Solve for x
    x = 779,941,765.32/14,142.13
  6. Step 6: Final answer
    x = 55,150.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.