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Finding the Third Proportional to 38,533.22 and 57,643.17

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Solution

The third proportional to 38,533.22 and 57,643.17 is: 86,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.22 : 57,643.17 = 57,643.17 : x
  2. Step 2: Convert to fraction form
    38,533.22/57,643.17 = 57,643.17/x
  3. Step 3: Cross multiply
    38,533.22x = 57,643.17 × 57,643.17
  4. Step 4: Simplify right side
    38,533.22x = 3,322,735,263.81
  5. Step 5: Solve for x
    x = 3,322,735,263.81/38,533.22
  6. Step 6: Final answer
    x = 86,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.