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Finding the Third Proportional to 32,026 and 69,794

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Solution

The third proportional to 32,026 and 69,794 is: 152,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026 : 69,794 = 69,794 : x
  2. Step 2: Convert to fraction form
    32,026/69,794 = 69,794/x
  3. Step 3: Cross multiply
    32,026x = 69,794 × 69,794
  4. Step 4: Simplify right side
    32,026x = 4,871,202,436
  5. Step 5: Solve for x
    x = 4,871,202,436/32,026
  6. Step 6: Final answer
    x = 152,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.