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Finding the Third Proportional to 48,899 and 69,748

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Solution

The third proportional to 48,899 and 69,748 is: 99,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,899 : 69,748 = 69,748 : x
  2. Step 2: Convert to fraction form
    48,899/69,748 = 69,748/x
  3. Step 3: Cross multiply
    48,899x = 69,748 × 69,748
  4. Step 4: Simplify right side
    48,899x = 4,864,783,504
  5. Step 5: Solve for x
    x = 4,864,783,504/48,899
  6. Step 6: Final answer
    x = 99,486.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.