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Finding the Third Proportional to 22,960 and 35,453

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Solution

The third proportional to 22,960 and 35,453 is: 54,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960 : 35,453 = 35,453 : x
  2. Step 2: Convert to fraction form
    22,960/35,453 = 35,453/x
  3. Step 3: Cross multiply
    22,960x = 35,453 × 35,453
  4. Step 4: Simplify right side
    22,960x = 1,256,915,209
  5. Step 5: Solve for x
    x = 1,256,915,209/22,960
  6. Step 6: Final answer
    x = 54,743.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.