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Finding the Third Proportional to 22,590 and 34,947

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Solution

The third proportional to 22,590 and 34,947 is: 54,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590 : 34,947 = 34,947 : x
  2. Step 2: Convert to fraction form
    22,590/34,947 = 34,947/x
  3. Step 3: Cross multiply
    22,590x = 34,947 × 34,947
  4. Step 4: Simplify right side
    22,590x = 1,221,292,809
  5. Step 5: Solve for x
    x = 1,221,292,809/22,590
  6. Step 6: Final answer
    x = 54,063.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.