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Finding the Third Proportional to 15,295 and 21,538

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Solution

The third proportional to 15,295 and 21,538 is: 30,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295 : 21,538 = 21,538 : x
  2. Step 2: Convert to fraction form
    15,295/21,538 = 21,538/x
  3. Step 3: Cross multiply
    15,295x = 21,538 × 21,538
  4. Step 4: Simplify right side
    15,295x = 463,885,444
  5. Step 5: Solve for x
    x = 463,885,444/15,295
  6. Step 6: Final answer
    x = 30,329.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.