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Finding the Third Proportional to 48,814 and 66,308

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Solution

The third proportional to 48,814 and 66,308 is: 90,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,814 : 66,308 = 66,308 : x
  2. Step 2: Convert to fraction form
    48,814/66,308 = 66,308/x
  3. Step 3: Cross multiply
    48,814x = 66,308 × 66,308
  4. Step 4: Simplify right side
    48,814x = 4,396,750,864
  5. Step 5: Solve for x
    x = 4,396,750,864/48,814
  6. Step 6: Final answer
    x = 90,071.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.