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Finding the Third Proportional to 23,598 and 33,453

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Solution

The third proportional to 23,598 and 33,453 is: 47,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 33,453 = 33,453 : x
  2. Step 2: Convert to fraction form
    23,598/33,453 = 33,453/x
  3. Step 3: Cross multiply
    23,598x = 33,453 × 33,453
  4. Step 4: Simplify right side
    23,598x = 1,119,103,209
  5. Step 5: Solve for x
    x = 1,119,103,209/23,598
  6. Step 6: Final answer
    x = 47,423.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.