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Finding the Third Proportional to 21,608 and 32,434

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Solution

The third proportional to 21,608 and 32,434 is: 48,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608 : 32,434 = 32,434 : x
  2. Step 2: Convert to fraction form
    21,608/32,434 = 32,434/x
  3. Step 3: Cross multiply
    21,608x = 32,434 × 32,434
  4. Step 4: Simplify right side
    21,608x = 1,051,964,356
  5. Step 5: Solve for x
    x = 1,051,964,356/21,608
  6. Step 6: Final answer
    x = 48,684.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.