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Finding the Third Proportional to 34,410 and 74,598

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Solution

The third proportional to 34,410 and 74,598 is: 161,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410 : 74,598 = 74,598 : x
  2. Step 2: Convert to fraction form
    34,410/74,598 = 74,598/x
  3. Step 3: Cross multiply
    34,410x = 74,598 × 74,598
  4. Step 4: Simplify right side
    34,410x = 5,564,861,604
  5. Step 5: Solve for x
    x = 5,564,861,604/34,410
  6. Step 6: Final answer
    x = 161,722.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.