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Finding the Third Proportional to 15,172 and 22,538

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Solution

The third proportional to 15,172 and 22,538 is: 33,480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172 : 22,538 = 22,538 : x
  2. Step 2: Convert to fraction form
    15,172/22,538 = 22,538/x
  3. Step 3: Cross multiply
    15,172x = 22,538 × 22,538
  4. Step 4: Simplify right side
    15,172x = 507,961,444
  5. Step 5: Solve for x
    x = 507,961,444/15,172
  6. Step 6: Final answer
    x = 33,480.19

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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.