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Finding the Third Proportional to 31,126 and 46,579

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Solution

The third proportional to 31,126 and 46,579 is: 69,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126 : 46,579 = 46,579 : x
  2. Step 2: Convert to fraction form
    31,126/46,579 = 46,579/x
  3. Step 3: Cross multiply
    31,126x = 46,579 × 46,579
  4. Step 4: Simplify right side
    31,126x = 2,169,603,241
  5. Step 5: Solve for x
    x = 2,169,603,241/31,126
  6. Step 6: Final answer
    x = 69,703.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.