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Finding the Third Proportional to 28,235 and 62,275

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Solution

The third proportional to 28,235 and 62,275 is: 137,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235 : 62,275 = 62,275 : x
  2. Step 2: Convert to fraction form
    28,235/62,275 = 62,275/x
  3. Step 3: Cross multiply
    28,235x = 62,275 × 62,275
  4. Step 4: Simplify right side
    28,235x = 3,878,175,625
  5. Step 5: Solve for x
    x = 3,878,175,625/28,235
  6. Step 6: Final answer
    x = 137,353.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.