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Finding the Third Proportional to 31,762 and 46,671

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Solution

The third proportional to 31,762 and 46,671 is: 68,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762 : 46,671 = 46,671 : x
  2. Step 2: Convert to fraction form
    31,762/46,671 = 46,671/x
  3. Step 3: Cross multiply
    31,762x = 46,671 × 46,671
  4. Step 4: Simplify right side
    31,762x = 2,178,182,241
  5. Step 5: Solve for x
    x = 2,178,182,241/31,762
  6. Step 6: Final answer
    x = 68,578.25

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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.