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Finding the Third Proportional to 36,987.75 and 76,594.50

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Solution

The third proportional to 36,987.75 and 76,594.50 is: 158,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,987.75 : 76,594.50 = 76,594.50 : x
  2. Step 2: Convert to fraction form
    36,987.75/76,594.50 = 76,594.50/x
  3. Step 3: Cross multiply
    36,987.75x = 76,594.50 × 76,594.50
  4. Step 4: Simplify right side
    36,987.75x = 5,866,717,430.25
  5. Step 5: Solve for x
    x = 5,866,717,430.25/36,987.75
  6. Step 6: Final answer
    x = 158,612.44

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.