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Finding the Third Proportional to 31,331 and 46,986

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Solution

The third proportional to 31,331 and 46,986 is: 70,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331 : 46,986 = 46,986 : x
  2. Step 2: Convert to fraction form
    31,331/46,986 = 46,986/x
  3. Step 3: Cross multiply
    31,331x = 46,986 × 46,986
  4. Step 4: Simplify right side
    31,331x = 2,207,684,196
  5. Step 5: Solve for x
    x = 2,207,684,196/31,331
  6. Step 6: Final answer
    x = 70,463.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.