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Finding the Third Proportional to 6,071.20 and 12,985.31

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Solution

The third proportional to 6,071.20 and 12,985.31 is: 27,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.20 : 12,985.31 = 12,985.31 : x
  2. Step 2: Convert to fraction form
    6,071.20/12,985.31 = 12,985.31/x
  3. Step 3: Cross multiply
    6,071.20x = 12,985.31 × 12,985.31
  4. Step 4: Simplify right side
    6,071.20x = 168,618,340.72
  5. Step 5: Solve for x
    x = 168,618,340.72/6,071.20
  6. Step 6: Final answer
    x = 27,773.46

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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.