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Finding the Third Proportional to 32,848 and 70,936

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Solution

The third proportional to 32,848 and 70,936 is: 153,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848 : 70,936 = 70,936 : x
  2. Step 2: Convert to fraction form
    32,848/70,936 = 70,936/x
  3. Step 3: Cross multiply
    32,848x = 70,936 × 70,936
  4. Step 4: Simplify right side
    32,848x = 5,031,916,096
  5. Step 5: Solve for x
    x = 5,031,916,096/32,848
  6. Step 6: Final answer
    x = 153,187.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.