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Finding the Third Proportional to 6,234.47 and 13,458.02

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Solution

The third proportional to 6,234.47 and 13,458.02 is: 29,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.47 : 13,458.02 = 13,458.02 : x
  2. Step 2: Convert to fraction form
    6,234.47/13,458.02 = 13,458.02/x
  3. Step 3: Cross multiply
    6,234.47x = 13,458.02 × 13,458.02
  4. Step 4: Simplify right side
    6,234.47x = 181,118,394.84
  5. Step 5: Solve for x
    x = 181,118,394.84/6,234.47
  6. Step 6: Final answer
    x = 29,051.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.