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Finding the Third Proportional to 39,710.75 and 87,319

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Solution

The third proportional to 39,710.75 and 87,319 is: 192,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,710.75 : 87,319 = 87,319 : x
  2. Step 2: Convert to fraction form
    39,710.75/87,319 = 87,319/x
  3. Step 3: Cross multiply
    39,710.75x = 87,319 × 87,319
  4. Step 4: Simplify right side
    39,710.75x = 7,624,607,761
  5. Step 5: Solve for x
    x = 7,624,607,761/39,710.75
  6. Step 6: Final answer
    x = 192,003.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.