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Finding the Third Proportional to 6,458.48 and 14,010.47

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Solution

The third proportional to 6,458.48 and 14,010.47 is: 30,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.48 : 14,010.47 = 14,010.47 : x
  2. Step 2: Convert to fraction form
    6,458.48/14,010.47 = 14,010.47/x
  3. Step 3: Cross multiply
    6,458.48x = 14,010.47 × 14,010.47
  4. Step 4: Simplify right side
    6,458.48x = 196,293,234.59
  5. Step 5: Solve for x
    x = 196,293,234.59/6,458.48
  6. Step 6: Final answer
    x = 30,393.08

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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.