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Finding the Third Proportional to 10,244 and 15,295

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Solution

The third proportional to 10,244 and 15,295 is: 22,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244 : 15,295 = 15,295 : x
  2. Step 2: Convert to fraction form
    10,244/15,295 = 15,295/x
  3. Step 3: Cross multiply
    10,244x = 15,295 × 15,295
  4. Step 4: Simplify right side
    10,244x = 233,937,025
  5. Step 5: Solve for x
    x = 233,937,025/10,244
  6. Step 6: Final answer
    x = 22,836.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.