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Finding the Third Proportional to 29,647.50 and 64,767

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Solution

The third proportional to 29,647.50 and 64,767 is: 141,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.50 : 64,767 = 64,767 : x
  2. Step 2: Convert to fraction form
    29,647.50/64,767 = 64,767/x
  3. Step 3: Cross multiply
    29,647.50x = 64,767 × 64,767
  4. Step 4: Simplify right side
    29,647.50x = 4,194,764,289
  5. Step 5: Solve for x
    x = 4,194,764,289/29,647.50
  6. Step 6: Final answer
    x = 141,487.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.