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Finding the Third Proportional to 14,010.47 and 30,652.17

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Solution

The third proportional to 14,010.47 and 30,652.17 is: 67,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.47 : 30,652.17 = 30,652.17 : x
  2. Step 2: Convert to fraction form
    14,010.47/30,652.17 = 30,652.17/x
  3. Step 3: Cross multiply
    14,010.47x = 30,652.17 × 30,652.17
  4. Step 4: Simplify right side
    14,010.47x = 939,555,640.65
  5. Step 5: Solve for x
    x = 939,555,640.65/14,010.47
  6. Step 6: Final answer
    x = 67,060.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.