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Finding the Third Proportional to 39,094.25 and 85,358.25

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Solution

The third proportional to 39,094.25 and 85,358.25 is: 186,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,094.25 : 85,358.25 = 85,358.25 : x
  2. Step 2: Convert to fraction form
    39,094.25/85,358.25 = 85,358.25/x
  3. Step 3: Cross multiply
    39,094.25x = 85,358.25 × 85,358.25
  4. Step 4: Simplify right side
    39,094.25x = 7,286,030,843.06
  5. Step 5: Solve for x
    x = 7,286,030,843.06/39,094.25
  6. Step 6: Final answer
    x = 186,370.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.