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Finding the Third Proportional to 6,071.25 and 13,150.50

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Solution

The third proportional to 6,071.25 and 13,150.50 is: 28,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.25 : 13,150.50 = 13,150.50 : x
  2. Step 2: Convert to fraction form
    6,071.25/13,150.50 = 13,150.50/x
  3. Step 3: Cross multiply
    6,071.25x = 13,150.50 × 13,150.50
  4. Step 4: Simplify right side
    6,071.25x = 172,935,650.25
  5. Step 5: Solve for x
    x = 172,935,650.25/6,071.25
  6. Step 6: Final answer
    x = 28,484.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.