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Finding the Third Proportional to 43,768 and 69,480

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Solution

The third proportional to 43,768 and 69,480 is: 110,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 69,480 = 69,480 : x
  2. Step 2: Convert to fraction form
    43,768/69,480 = 69,480/x
  3. Step 3: Cross multiply
    43,768x = 69,480 × 69,480
  4. Step 4: Simplify right side
    43,768x = 4,827,470,400
  5. Step 5: Solve for x
    x = 4,827,470,400/43,768
  6. Step 6: Final answer
    x = 110,296.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.