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Finding the Third Proportional to 21,596 and 32,412

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Solution

The third proportional to 21,596 and 32,412 is: 48,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596 : 32,412 = 32,412 : x
  2. Step 2: Convert to fraction form
    21,596/32,412 = 32,412/x
  3. Step 3: Cross multiply
    21,596x = 32,412 × 32,412
  4. Step 4: Simplify right side
    21,596x = 1,050,537,744
  5. Step 5: Solve for x
    x = 1,050,537,744/21,596
  6. Step 6: Final answer
    x = 48,645.02

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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.