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Finding the Third Proportional to 39,733.50 and 86,848.50

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Solution

The third proportional to 39,733.50 and 86,848.50 is: 189,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733.50 : 86,848.50 = 86,848.50 : x
  2. Step 2: Convert to fraction form
    39,733.50/86,848.50 = 86,848.50/x
  3. Step 3: Cross multiply
    39,733.50x = 86,848.50 × 86,848.50
  4. Step 4: Simplify right side
    39,733.50x = 7,542,661,952.25
  5. Step 5: Solve for x
    x = 7,542,661,952.25/39,733.50
  6. Step 6: Final answer
    x = 189,831.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.