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Finding the Third Proportional to 48,255 and 64,848

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Solution

The third proportional to 48,255 and 64,848 is: 87,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,255 : 64,848 = 64,848 : x
  2. Step 2: Convert to fraction form
    48,255/64,848 = 64,848/x
  3. Step 3: Cross multiply
    48,255x = 64,848 × 64,848
  4. Step 4: Simplify right side
    48,255x = 4,205,263,104
  5. Step 5: Solve for x
    x = 4,205,263,104/48,255
  6. Step 6: Final answer
    x = 87,146.68

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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.