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Finding the Third Proportional to 29,526 and 64,812

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Solution

The third proportional to 29,526 and 64,812 is: 142,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,526 : 64,812 = 64,812 : x
  2. Step 2: Convert to fraction form
    29,526/64,812 = 64,812/x
  3. Step 3: Cross multiply
    29,526x = 64,812 × 64,812
  4. Step 4: Simplify right side
    29,526x = 4,200,595,344
  5. Step 5: Solve for x
    x = 4,200,595,344/29,526
  6. Step 6: Final answer
    x = 142,267.67

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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.