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Finding the Third Proportional to 6,648.47 and 9,841.36

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Solution

The third proportional to 6,648.47 and 9,841.36 is: 14,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.47 : 9,841.36 = 9,841.36 : x
  2. Step 2: Convert to fraction form
    6,648.47/9,841.36 = 9,841.36/x
  3. Step 3: Cross multiply
    6,648.47x = 9,841.36 × 9,841.36
  4. Step 4: Simplify right side
    6,648.47x = 96,852,354.35
  5. Step 5: Solve for x
    x = 96,852,354.35/6,648.47
  6. Step 6: Final answer
    x = 14,567.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.