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Finding the Third Proportional to 31,887 and 46,856

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Solution

The third proportional to 31,887 and 46,856 is: 68,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887 : 46,856 = 46,856 : x
  2. Step 2: Convert to fraction form
    31,887/46,856 = 46,856/x
  3. Step 3: Cross multiply
    31,887x = 46,856 × 46,856
  4. Step 4: Simplify right side
    31,887x = 2,195,484,736
  5. Step 5: Solve for x
    x = 2,195,484,736/31,887
  6. Step 6: Final answer
    x = 68,852.03

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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.