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Finding the Third Proportional to 49,572 and 69,336

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Solution

The third proportional to 49,572 and 69,336 is: 96,979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572 : 69,336 = 69,336 : x
  2. Step 2: Convert to fraction form
    49,572/69,336 = 69,336/x
  3. Step 3: Cross multiply
    49,572x = 69,336 × 69,336
  4. Step 4: Simplify right side
    49,572x = 4,807,480,896
  5. Step 5: Solve for x
    x = 4,807,480,896/49,572
  6. Step 6: Final answer
    x = 96,979.76

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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.