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Finding the Third Proportional to 31,391 and 46,543

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Solution

The third proportional to 31,391 and 46,543 is: 69,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391 : 46,543 = 46,543 : x
  2. Step 2: Convert to fraction form
    31,391/46,543 = 46,543/x
  3. Step 3: Cross multiply
    31,391x = 46,543 × 46,543
  4. Step 4: Simplify right side
    31,391x = 2,166,250,849
  5. Step 5: Solve for x
    x = 2,166,250,849/31,391
  6. Step 6: Final answer
    x = 69,008.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.