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Finding the Third Proportional to 31,902 and 46,971.75

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Solution

The third proportional to 31,902 and 46,971.75 is: 69,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902 : 46,971.75 = 46,971.75 : x
  2. Step 2: Convert to fraction form
    31,902/46,971.75 = 46,971.75/x
  3. Step 3: Cross multiply
    31,902x = 46,971.75 × 46,971.75
  4. Step 4: Simplify right side
    31,902x = 2,206,345,298.06
  5. Step 5: Solve for x
    x = 2,206,345,298.06/31,902
  6. Step 6: Final answer
    x = 69,160.09

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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.