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Finding the Third Proportional to 22,340 and 34,590

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Solution

The third proportional to 22,340 and 34,590 is: 53,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340 : 34,590 = 34,590 : x
  2. Step 2: Convert to fraction form
    22,340/34,590 = 34,590/x
  3. Step 3: Cross multiply
    22,340x = 34,590 × 34,590
  4. Step 4: Simplify right side
    22,340x = 1,196,468,100
  5. Step 5: Solve for x
    x = 1,196,468,100/22,340
  6. Step 6: Final answer
    x = 53,557.21

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Why These Related Problems?

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