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Finding the Third Proportional to 10,322 and 15,239

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Solution

The third proportional to 10,322 and 15,239 is: 22,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 15,239 = 15,239 : x
  2. Step 2: Convert to fraction form
    10,322/15,239 = 15,239/x
  3. Step 3: Cross multiply
    10,322x = 15,239 × 15,239
  4. Step 4: Simplify right side
    10,322x = 232,227,121
  5. Step 5: Solve for x
    x = 232,227,121/10,322
  6. Step 6: Final answer
    x = 22,498.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.