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Finding the Third Proportional to 36,289.22 and 78,417.09

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Solution

The third proportional to 36,289.22 and 78,417.09 is: 169,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,289.22 : 78,417.09 = 78,417.09 : x
  2. Step 2: Convert to fraction form
    36,289.22/78,417.09 = 78,417.09/x
  3. Step 3: Cross multiply
    36,289.22x = 78,417.09 × 78,417.09
  4. Step 4: Simplify right side
    36,289.22x = 6,149,240,592.20
  5. Step 5: Solve for x
    x = 6,149,240,592.20/36,289.22
  6. Step 6: Final answer
    x = 169,450.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.