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Finding the Third Proportional to 4,971.38 and 10,023.75

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Solution

The third proportional to 4,971.38 and 10,023.75 is: 20,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.38 : 10,023.75 = 10,023.75 : x
  2. Step 2: Convert to fraction form
    4,971.38/10,023.75 = 10,023.75/x
  3. Step 3: Cross multiply
    4,971.38x = 10,023.75 × 10,023.75
  4. Step 4: Simplify right side
    4,971.38x = 100,475,564.06
  5. Step 5: Solve for x
    x = 100,475,564.06/4,971.38
  6. Step 6: Final answer
    x = 20,210.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.