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Finding the Third Proportional to 21,518 and 32,600

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Solution

The third proportional to 21,518 and 32,600 is: 49,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,518 : 32,600 = 32,600 : x
  2. Step 2: Convert to fraction form
    21,518/32,600 = 32,600/x
  3. Step 3: Cross multiply
    21,518x = 32,600 × 32,600
  4. Step 4: Simplify right side
    21,518x = 1,062,760,000
  5. Step 5: Solve for x
    x = 1,062,760,000/21,518
  6. Step 6: Final answer
    x = 49,389.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.