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Finding the Third Proportional to 22,574 and 46,741

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Solution

The third proportional to 22,574 and 46,741 is: 96,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574 : 46,741 = 46,741 : x
  2. Step 2: Convert to fraction form
    22,574/46,741 = 46,741/x
  3. Step 3: Cross multiply
    22,574x = 46,741 × 46,741
  4. Step 4: Simplify right side
    22,574x = 2,184,721,081
  5. Step 5: Solve for x
    x = 2,184,721,081/22,574
  6. Step 6: Final answer
    x = 96,780.41

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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.