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Finding the Third Proportional to 36,246 and 76,848

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Solution

The third proportional to 36,246 and 76,848 is: 162,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,246 : 76,848 = 76,848 : x
  2. Step 2: Convert to fraction form
    36,246/76,848 = 76,848/x
  3. Step 3: Cross multiply
    36,246x = 76,848 × 76,848
  4. Step 4: Simplify right side
    36,246x = 5,905,615,104
  5. Step 5: Solve for x
    x = 5,905,615,104/36,246
  6. Step 6: Final answer
    x = 162,931.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.