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Finding the Third Proportional to 49,624 and 69,414

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Solution

The third proportional to 49,624 and 69,414 is: 97,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,624 : 69,414 = 69,414 : x
  2. Step 2: Convert to fraction form
    49,624/69,414 = 69,414/x
  3. Step 3: Cross multiply
    49,624x = 69,414 × 69,414
  4. Step 4: Simplify right side
    49,624x = 4,818,303,396
  5. Step 5: Solve for x
    x = 4,818,303,396/49,624
  6. Step 6: Final answer
    x = 97,096.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.