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Finding the Third Proportional to 49,656 and 69,012

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Solution

The third proportional to 49,656 and 69,012 is: 95,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,656 : 69,012 = 69,012 : x
  2. Step 2: Convert to fraction form
    49,656/69,012 = 69,012/x
  3. Step 3: Cross multiply
    49,656x = 69,012 × 69,012
  4. Step 4: Simplify right side
    49,656x = 4,762,656,144
  5. Step 5: Solve for x
    x = 4,762,656,144/49,656
  6. Step 6: Final answer
    x = 95,913.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.