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Finding the Third Proportional to 34,724 and 49,170

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Solution

The third proportional to 34,724 and 49,170 is: 69,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,724 : 49,170 = 49,170 : x
  2. Step 2: Convert to fraction form
    34,724/49,170 = 49,170/x
  3. Step 3: Cross multiply
    34,724x = 49,170 × 49,170
  4. Step 4: Simplify right side
    34,724x = 2,417,688,900
  5. Step 5: Solve for x
    x = 2,417,688,900/34,724
  6. Step 6: Final answer
    x = 69,625.88

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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.