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Finding the Third Proportional to 38,106.75 and 87,643.88

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Solution

The third proportional to 38,106.75 and 87,643.88 is: 201,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.75 : 87,643.88 = 87,643.88 : x
  2. Step 2: Convert to fraction form
    38,106.75/87,643.88 = 87,643.88/x
  3. Step 3: Cross multiply
    38,106.75x = 87,643.88 × 87,643.88
  4. Step 4: Simplify right side
    38,106.75x = 7,681,448,825.02
  5. Step 5: Solve for x
    x = 7,681,448,825.02/38,106.75
  6. Step 6: Final answer
    x = 201,577.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.