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Finding the Third Proportional to 37,811.25 and 79,492.50

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Solution

The third proportional to 37,811.25 and 79,492.50 is: 167,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,811.25 : 79,492.50 = 79,492.50 : x
  2. Step 2: Convert to fraction form
    37,811.25/79,492.50 = 79,492.50/x
  3. Step 3: Cross multiply
    37,811.25x = 79,492.50 × 79,492.50
  4. Step 4: Simplify right side
    37,811.25x = 6,319,057,556.25
  5. Step 5: Solve for x
    x = 6,319,057,556.25/37,811.25
  6. Step 6: Final answer
    x = 167,121.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.