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Finding the Third Proportional to 4,873.92 and 10,675.55

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Solution

The third proportional to 4,873.92 and 10,675.55 is: 23,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.92 : 10,675.55 = 10,675.55 : x
  2. Step 2: Convert to fraction form
    4,873.92/10,675.55 = 10,675.55/x
  3. Step 3: Cross multiply
    4,873.92x = 10,675.55 × 10,675.55
  4. Step 4: Simplify right side
    4,873.92x = 113,967,301.08
  5. Step 5: Solve for x
    x = 113,967,301.08/4,873.92
  6. Step 6: Final answer
    x = 23,383.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.