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Finding the Third Proportional to 15,324 and 22,322

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Solution

The third proportional to 15,324 and 22,322 is: 32,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324 : 22,322 = 22,322 : x
  2. Step 2: Convert to fraction form
    15,324/22,322 = 22,322/x
  3. Step 3: Cross multiply
    15,324x = 22,322 × 22,322
  4. Step 4: Simplify right side
    15,324x = 498,271,684
  5. Step 5: Solve for x
    x = 498,271,684/15,324
  6. Step 6: Final answer
    x = 32,515.77

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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.