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Finding the Third Proportional to 46,210 and 69,931

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Solution

The third proportional to 46,210 and 69,931 is: 105,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210 : 69,931 = 69,931 : x
  2. Step 2: Convert to fraction form
    46,210/69,931 = 69,931/x
  3. Step 3: Cross multiply
    46,210x = 69,931 × 69,931
  4. Step 4: Simplify right side
    46,210x = 4,890,344,761
  5. Step 5: Solve for x
    x = 4,890,344,761/46,210
  6. Step 6: Final answer
    x = 105,828.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.