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Finding the Third Proportional to 4,985.72 and 10,842.19

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Solution

The third proportional to 4,985.72 and 10,842.19 is: 23,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.72 : 10,842.19 = 10,842.19 : x
  2. Step 2: Convert to fraction form
    4,985.72/10,842.19 = 10,842.19/x
  3. Step 3: Cross multiply
    4,985.72x = 10,842.19 × 10,842.19
  4. Step 4: Simplify right side
    4,985.72x = 117,553,029.79
  5. Step 5: Solve for x
    x = 117,553,029.79/4,985.72
  6. Step 6: Final answer
    x = 23,577.95

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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.