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Finding the Third Proportional to 31,216 and 47,868

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Solution

The third proportional to 31,216 and 47,868 is: 73,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216 : 47,868 = 47,868 : x
  2. Step 2: Convert to fraction form
    31,216/47,868 = 47,868/x
  3. Step 3: Cross multiply
    31,216x = 47,868 × 47,868
  4. Step 4: Simplify right side
    31,216x = 2,291,345,424
  5. Step 5: Solve for x
    x = 2,291,345,424/31,216
  6. Step 6: Final answer
    x = 73,402.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.