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Finding the Third Proportional to 22,344 and 46,526

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Solution

The third proportional to 22,344 and 46,526 is: 96,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344 : 46,526 = 46,526 : x
  2. Step 2: Convert to fraction form
    22,344/46,526 = 46,526/x
  3. Step 3: Cross multiply
    22,344x = 46,526 × 46,526
  4. Step 4: Simplify right side
    22,344x = 2,164,668,676
  5. Step 5: Solve for x
    x = 2,164,668,676/22,344
  6. Step 6: Final answer
    x = 96,879.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.