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Finding the Third Proportional to 2,327.96 and 4,925.02

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Solution

The third proportional to 2,327.96 and 4,925.02 is: 10,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.96 : 4,925.02 = 4,925.02 : x
  2. Step 2: Convert to fraction form
    2,327.96/4,925.02 = 4,925.02/x
  3. Step 3: Cross multiply
    2,327.96x = 4,925.02 × 4,925.02
  4. Step 4: Simplify right side
    2,327.96x = 24,255,836.62
  5. Step 5: Solve for x
    x = 24,255,836.62/2,327.96
  6. Step 6: Final answer
    x = 10,419.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.