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Finding the Third Proportional to 48,498 and 74,910

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Solution

The third proportional to 48,498 and 74,910 is: 115,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498 : 74,910 = 74,910 : x
  2. Step 2: Convert to fraction form
    48,498/74,910 = 74,910/x
  3. Step 3: Cross multiply
    48,498x = 74,910 × 74,910
  4. Step 4: Simplify right side
    48,498x = 5,611,508,100
  5. Step 5: Solve for x
    x = 5,611,508,100/48,498
  6. Step 6: Final answer
    x = 115,705.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.