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Finding the Third Proportional to 49,760 and 74,688

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Solution

The third proportional to 49,760 and 74,688 is: 112,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760 : 74,688 = 74,688 : x
  2. Step 2: Convert to fraction form
    49,760/74,688 = 74,688/x
  3. Step 3: Cross multiply
    49,760x = 74,688 × 74,688
  4. Step 4: Simplify right side
    49,760x = 5,578,297,344
  5. Step 5: Solve for x
    x = 5,578,297,344/49,760
  6. Step 6: Final answer
    x = 112,104.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.