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Finding the Third Proportional to 39,412.88 and 86,490.75

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Solution

The third proportional to 39,412.88 and 86,490.75 is: 189,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.88 : 86,490.75 = 86,490.75 : x
  2. Step 2: Convert to fraction form
    39,412.88/86,490.75 = 86,490.75/x
  3. Step 3: Cross multiply
    39,412.88x = 86,490.75 × 86,490.75
  4. Step 4: Simplify right side
    39,412.88x = 7,480,649,835.56
  5. Step 5: Solve for x
    x = 7,480,649,835.56/39,412.88
  6. Step 6: Final answer
    x = 189,802.19

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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.