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Finding the Third Proportional to 31,814 and 48,127

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Solution

The third proportional to 31,814 and 48,127 is: 72,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814 : 48,127 = 48,127 : x
  2. Step 2: Convert to fraction form
    31,814/48,127 = 48,127/x
  3. Step 3: Cross multiply
    31,814x = 48,127 × 48,127
  4. Step 4: Simplify right side
    31,814x = 2,316,208,129
  5. Step 5: Solve for x
    x = 2,316,208,129/31,814
  6. Step 6: Final answer
    x = 72,804.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.