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Finding the Third Proportional to 38,033.30 and 53,320.94

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Solution

The third proportional to 38,033.30 and 53,320.94 is: 74,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.30 : 53,320.94 = 53,320.94 : x
  2. Step 2: Convert to fraction form
    38,033.30/53,320.94 = 53,320.94/x
  3. Step 3: Cross multiply
    38,033.30x = 53,320.94 × 53,320.94
  4. Step 4: Simplify right side
    38,033.30x = 2,843,122,584.16
  5. Step 5: Solve for x
    x = 2,843,122,584.16/38,033.30
  6. Step 6: Final answer
    x = 74,753.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.