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Finding the Third Proportional to 28,271 and 61,456

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Solution

The third proportional to 28,271 and 61,456 is: 133,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,271 : 61,456 = 61,456 : x
  2. Step 2: Convert to fraction form
    28,271/61,456 = 61,456/x
  3. Step 3: Cross multiply
    28,271x = 61,456 × 61,456
  4. Step 4: Simplify right side
    28,271x = 3,776,839,936
  5. Step 5: Solve for x
    x = 3,776,839,936/28,271
  6. Step 6: Final answer
    x = 133,594.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.