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Finding the Third Proportional to 34,040 and 74,392

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Solution

The third proportional to 34,040 and 74,392 is: 162,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040 : 74,392 = 74,392 : x
  2. Step 2: Convert to fraction form
    34,040/74,392 = 74,392/x
  3. Step 3: Cross multiply
    34,040x = 74,392 × 74,392
  4. Step 4: Simplify right side
    34,040x = 5,534,169,664
  5. Step 5: Solve for x
    x = 5,534,169,664/34,040
  6. Step 6: Final answer
    x = 162,578.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.