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Finding the Third Proportional to 6,101.58 and 12,567.66

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Solution

The third proportional to 6,101.58 and 12,567.66 is: 25,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.58 : 12,567.66 = 12,567.66 : x
  2. Step 2: Convert to fraction form
    6,101.58/12,567.66 = 12,567.66/x
  3. Step 3: Cross multiply
    6,101.58x = 12,567.66 × 12,567.66
  4. Step 4: Simplify right side
    6,101.58x = 157,945,983.62
  5. Step 5: Solve for x
    x = 157,945,983.62/6,101.58
  6. Step 6: Final answer
    x = 25,886.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.