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Finding the Third Proportional to 38,355.75 and 79,374.25

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Solution

The third proportional to 38,355.75 and 79,374.25 is: 164,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,355.75 : 79,374.25 = 79,374.25 : x
  2. Step 2: Convert to fraction form
    38,355.75/79,374.25 = 79,374.25/x
  3. Step 3: Cross multiply
    38,355.75x = 79,374.25 × 79,374.25
  4. Step 4: Simplify right side
    38,355.75x = 6,300,271,563.06
  5. Step 5: Solve for x
    x = 6,300,271,563.06/38,355.75
  6. Step 6: Final answer
    x = 164,258.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.