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Finding the Third Proportional to 34,720 and 48,856

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Solution

The third proportional to 34,720 and 48,856 is: 68,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,720 : 48,856 = 48,856 : x
  2. Step 2: Convert to fraction form
    34,720/48,856 = 48,856/x
  3. Step 3: Cross multiply
    34,720x = 48,856 × 48,856
  4. Step 4: Simplify right side
    34,720x = 2,386,908,736
  5. Step 5: Solve for x
    x = 2,386,908,736/34,720
  6. Step 6: Final answer
    x = 68,747.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.