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Finding the Third Proportional to 48,606 and 65,322

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Solution

The third proportional to 48,606 and 65,322 is: 87,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606 : 65,322 = 65,322 : x
  2. Step 2: Convert to fraction form
    48,606/65,322 = 65,322/x
  3. Step 3: Cross multiply
    48,606x = 65,322 × 65,322
  4. Step 4: Simplify right side
    48,606x = 4,266,963,684
  5. Step 5: Solve for x
    x = 4,266,963,684/48,606
  6. Step 6: Final answer
    x = 87,786.77

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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.