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Finding the Third Proportional to 35,267.50 and 47,843.50

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Solution

The third proportional to 35,267.50 and 47,843.50 is: 64,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,267.50 : 47,843.50 = 47,843.50 : x
  2. Step 2: Convert to fraction form
    35,267.50/47,843.50 = 47,843.50/x
  3. Step 3: Cross multiply
    35,267.50x = 47,843.50 × 47,843.50
  4. Step 4: Simplify right side
    35,267.50x = 2,289,000,492.25
  5. Step 5: Solve for x
    x = 2,289,000,492.25/35,267.50
  6. Step 6: Final answer
    x = 64,903.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.