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Finding the Third Proportional to 39,714.75 and 87,421.50

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Solution

The third proportional to 39,714.75 and 87,421.50 is: 192,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714.75 : 87,421.50 = 87,421.50 : x
  2. Step 2: Convert to fraction form
    39,714.75/87,421.50 = 87,421.50/x
  3. Step 3: Cross multiply
    39,714.75x = 87,421.50 × 87,421.50
  4. Step 4: Simplify right side
    39,714.75x = 7,642,518,662.25
  5. Step 5: Solve for x
    x = 7,642,518,662.25/39,714.75
  6. Step 6: Final answer
    x = 192,435.27

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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.