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Finding the Third Proportional to 33,051.50 and 64,442

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Solution

The third proportional to 33,051.50 and 64,442 is: 125,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.50 : 64,442 = 64,442 : x
  2. Step 2: Convert to fraction form
    33,051.50/64,442 = 64,442/x
  3. Step 3: Cross multiply
    33,051.50x = 64,442 × 64,442
  4. Step 4: Simplify right side
    33,051.50x = 4,152,771,364
  5. Step 5: Solve for x
    x = 4,152,771,364/33,051.50
  6. Step 6: Final answer
    x = 125,645.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.