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Finding the Third Proportional to 22,970 and 35,523

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Solution

The third proportional to 22,970 and 35,523 is: 54,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970 : 35,523 = 35,523 : x
  2. Step 2: Convert to fraction form
    22,970/35,523 = 35,523/x
  3. Step 3: Cross multiply
    22,970x = 35,523 × 35,523
  4. Step 4: Simplify right side
    22,970x = 1,261,883,529
  5. Step 5: Solve for x
    x = 1,261,883,529/22,970
  6. Step 6: Final answer
    x = 54,936.16

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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.