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Finding the Third Proportional to 6,807.80 and 14,538.23

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Solution

The third proportional to 6,807.80 and 14,538.23 is: 31,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.80 : 14,538.23 = 14,538.23 : x
  2. Step 2: Convert to fraction form
    6,807.80/14,538.23 = 14,538.23/x
  3. Step 3: Cross multiply
    6,807.80x = 14,538.23 × 14,538.23
  4. Step 4: Simplify right side
    6,807.80x = 211,360,258.74
  5. Step 5: Solve for x
    x = 211,360,258.74/6,807.80
  6. Step 6: Final answer
    x = 31,046.79

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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.