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Finding the Third Proportional to 48,531 and 65,215

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Solution

The third proportional to 48,531 and 65,215 is: 87,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,531 : 65,215 = 65,215 : x
  2. Step 2: Convert to fraction form
    48,531/65,215 = 65,215/x
  3. Step 3: Cross multiply
    48,531x = 65,215 × 65,215
  4. Step 4: Simplify right side
    48,531x = 4,252,996,225
  5. Step 5: Solve for x
    x = 4,252,996,225/48,531
  6. Step 6: Final answer
    x = 87,634.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.