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Finding the Third Proportional to 2,924.24 and 6,341.12

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Solution

The third proportional to 2,924.24 and 6,341.12 is: 13,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.24 : 6,341.12 = 6,341.12 : x
  2. Step 2: Convert to fraction form
    2,924.24/6,341.12 = 6,341.12/x
  3. Step 3: Cross multiply
    2,924.24x = 6,341.12 × 6,341.12
  4. Step 4: Simplify right side
    2,924.24x = 40,209,770.28
  5. Step 5: Solve for x
    x = 40,209,770.28/2,924.24
  6. Step 6: Final answer
    x = 13,750.50

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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.