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Finding the Third Proportional to 31,901 and 46,875

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Solution

The third proportional to 31,901 and 46,875 is: 68,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901 : 46,875 = 46,875 : x
  2. Step 2: Convert to fraction form
    31,901/46,875 = 46,875/x
  3. Step 3: Cross multiply
    31,901x = 46,875 × 46,875
  4. Step 4: Simplify right side
    31,901x = 2,197,265,625
  5. Step 5: Solve for x
    x = 2,197,265,625/31,901
  6. Step 6: Final answer
    x = 68,877.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.