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Finding the Third Proportional to 49,622 and 69,411

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Solution

The third proportional to 49,622 and 69,411 is: 97,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,622 : 69,411 = 69,411 : x
  2. Step 2: Convert to fraction form
    49,622/69,411 = 69,411/x
  3. Step 3: Cross multiply
    49,622x = 69,411 × 69,411
  4. Step 4: Simplify right side
    49,622x = 4,817,886,921
  5. Step 5: Solve for x
    x = 4,817,886,921/49,622
  6. Step 6: Final answer
    x = 97,091.75

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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.