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Finding the Third Proportional to 22,597 and 46,766

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Solution

The third proportional to 22,597 and 46,766 is: 96,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597 : 46,766 = 46,766 : x
  2. Step 2: Convert to fraction form
    22,597/46,766 = 46,766/x
  3. Step 3: Cross multiply
    22,597x = 46,766 × 46,766
  4. Step 4: Simplify right side
    22,597x = 2,187,058,756
  5. Step 5: Solve for x
    x = 2,187,058,756/22,597
  6. Step 6: Final answer
    x = 96,785.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.