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Finding the Third Proportional to 43,576 and 69,040

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Solution

The third proportional to 43,576 and 69,040 is: 109,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,576 : 69,040 = 69,040 : x
  2. Step 2: Convert to fraction form
    43,576/69,040 = 69,040/x
  3. Step 3: Cross multiply
    43,576x = 69,040 × 69,040
  4. Step 4: Simplify right side
    43,576x = 4,766,521,600
  5. Step 5: Solve for x
    x = 4,766,521,600/43,576
  6. Step 6: Final answer
    x = 109,384.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.