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Finding the Third Proportional to 3,057.61 and 6,559.45

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Solution

The third proportional to 3,057.61 and 6,559.45 is: 14,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.61 : 6,559.45 = 6,559.45 : x
  2. Step 2: Convert to fraction form
    3,057.61/6,559.45 = 6,559.45/x
  3. Step 3: Cross multiply
    3,057.61x = 6,559.45 × 6,559.45
  4. Step 4: Simplify right side
    3,057.61x = 43,026,425.30
  5. Step 5: Solve for x
    x = 43,026,425.30/3,057.61
  6. Step 6: Final answer
    x = 14,071.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.