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Finding the Third Proportional to 21,921 and 32,017

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Solution

The third proportional to 21,921 and 32,017 is: 46,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921 : 32,017 = 32,017 : x
  2. Step 2: Convert to fraction form
    21,921/32,017 = 32,017/x
  3. Step 3: Cross multiply
    21,921x = 32,017 × 32,017
  4. Step 4: Simplify right side
    21,921x = 1,025,088,289
  5. Step 5: Solve for x
    x = 1,025,088,289/21,921
  6. Step 6: Final answer
    x = 46,762.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.