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Finding the Third Proportional to 4,097.25 and 8,848.13

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Solution

The third proportional to 4,097.25 and 8,848.13 is: 19,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.25 : 8,848.13 = 8,848.13 : x
  2. Step 2: Convert to fraction form
    4,097.25/8,848.13 = 8,848.13/x
  3. Step 3: Cross multiply
    4,097.25x = 8,848.13 × 8,848.13
  4. Step 4: Simplify right side
    4,097.25x = 78,289,316.02
  5. Step 5: Solve for x
    x = 78,289,316.02/4,097.25
  6. Step 6: Final answer
    x = 19,107.77

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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.