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Finding the Third Proportional to 15,396 and 22,392

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Solution

The third proportional to 15,396 and 22,392 is: 32,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,396 : 22,392 = 22,392 : x
  2. Step 2: Convert to fraction form
    15,396/22,392 = 22,392/x
  3. Step 3: Cross multiply
    15,396x = 22,392 × 22,392
  4. Step 4: Simplify right side
    15,396x = 501,401,664
  5. Step 5: Solve for x
    x = 501,401,664/15,396
  6. Step 6: Final answer
    x = 32,567.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.