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Finding the Third Proportional to 48,168 and 70,794

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Solution

The third proportional to 48,168 and 70,794 is: 104,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,168 : 70,794 = 70,794 : x
  2. Step 2: Convert to fraction form
    48,168/70,794 = 70,794/x
  3. Step 3: Cross multiply
    48,168x = 70,794 × 70,794
  4. Step 4: Simplify right side
    48,168x = 5,011,790,436
  5. Step 5: Solve for x
    x = 5,011,790,436/48,168
  6. Step 6: Final answer
    x = 104,048.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.