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Finding the Third Proportional to 38,301.75 and 81,865.50

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Solution

The third proportional to 38,301.75 and 81,865.50 is: 174,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301.75 : 81,865.50 = 81,865.50 : x
  2. Step 2: Convert to fraction form
    38,301.75/81,865.50 = 81,865.50/x
  3. Step 3: Cross multiply
    38,301.75x = 81,865.50 × 81,865.50
  4. Step 4: Simplify right side
    38,301.75x = 6,701,960,090.25
  5. Step 5: Solve for x
    x = 6,701,960,090.25/38,301.75
  6. Step 6: Final answer
    x = 174,977.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.