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Finding the Third Proportional to 31,486 and 46,223

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Solution

The third proportional to 31,486 and 46,223 is: 67,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486 : 46,223 = 46,223 : x
  2. Step 2: Convert to fraction form
    31,486/46,223 = 46,223/x
  3. Step 3: Cross multiply
    31,486x = 46,223 × 46,223
  4. Step 4: Simplify right side
    31,486x = 2,136,565,729
  5. Step 5: Solve for x
    x = 2,136,565,729/31,486
  6. Step 6: Final answer
    x = 67,857.64

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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.