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Finding the Third Proportional to 33,695 and 56,153

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Solution

The third proportional to 33,695 and 56,153 is: 93,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695 : 56,153 = 56,153 : x
  2. Step 2: Convert to fraction form
    33,695/56,153 = 56,153/x
  3. Step 3: Cross multiply
    33,695x = 56,153 × 56,153
  4. Step 4: Simplify right side
    33,695x = 3,153,159,409
  5. Step 5: Solve for x
    x = 3,153,159,409/33,695
  6. Step 6: Final answer
    x = 93,579.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.