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Finding the Third Proportional to 31,906 and 46,937

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Solution

The third proportional to 31,906 and 46,937 is: 69,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906 : 46,937 = 46,937 : x
  2. Step 2: Convert to fraction form
    31,906/46,937 = 46,937/x
  3. Step 3: Cross multiply
    31,906x = 46,937 × 46,937
  4. Step 4: Simplify right side
    31,906x = 2,203,081,969
  5. Step 5: Solve for x
    x = 2,203,081,969/31,906
  6. Step 6: Final answer
    x = 69,049.14

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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.