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Finding the Third Proportional to 15,322 and 22,319

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Solution

The third proportional to 15,322 and 22,319 is: 32,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322 : 22,319 = 22,319 : x
  2. Step 2: Convert to fraction form
    15,322/22,319 = 22,319/x
  3. Step 3: Cross multiply
    15,322x = 22,319 × 22,319
  4. Step 4: Simplify right side
    15,322x = 498,137,761
  5. Step 5: Solve for x
    x = 498,137,761/15,322
  6. Step 6: Final answer
    x = 32,511.28

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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.