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Finding the Third Proportional to 23,060 and 34,799

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Solution

The third proportional to 23,060 and 34,799 is: 52,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,060 : 34,799 = 34,799 : x
  2. Step 2: Convert to fraction form
    23,060/34,799 = 34,799/x
  3. Step 3: Cross multiply
    23,060x = 34,799 × 34,799
  4. Step 4: Simplify right side
    23,060x = 1,210,970,401
  5. Step 5: Solve for x
    x = 1,210,970,401/23,060
  6. Step 6: Final answer
    x = 52,513.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.