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Finding the Third Proportional to 32,019 and 32,019

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Solution

The third proportional to 32,019 and 32,019 is: 32,019

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019 : 32,019 = 32,019 : x
  2. Step 2: Convert to fraction form
    32,019/32,019 = 32,019/x
  3. Step 3: Cross multiply
    32,019x = 32,019 × 32,019
  4. Step 4: Simplify right side
    32,019x = 1,025,216,361
  5. Step 5: Solve for x
    x = 1,025,216,361/32,019
  6. Step 6: Final answer
    x = 32,019

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Why These Related Problems?

These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.