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Finding the Third Proportional to 3,012.47 and 6,487.52

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Solution

The third proportional to 3,012.47 and 6,487.52 is: 13,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.47 : 6,487.52 = 6,487.52 : x
  2. Step 2: Convert to fraction form
    3,012.47/6,487.52 = 6,487.52/x
  3. Step 3: Cross multiply
    3,012.47x = 6,487.52 × 6,487.52
  4. Step 4: Simplify right side
    3,012.47x = 42,087,960.35
  5. Step 5: Solve for x
    x = 42,087,960.35/3,012.47
  6. Step 6: Final answer
    x = 13,971.25

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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.