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Finding the Third Proportional to 49,612 and 69,396

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Solution

The third proportional to 49,612 and 69,396 is: 97,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,612 : 69,396 = 69,396 : x
  2. Step 2: Convert to fraction form
    49,612/69,396 = 69,396/x
  3. Step 3: Cross multiply
    49,612x = 69,396 × 69,396
  4. Step 4: Simplify right side
    49,612x = 4,815,804,816
  5. Step 5: Solve for x
    x = 4,815,804,816/49,612
  6. Step 6: Final answer
    x = 97,069.35

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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.