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Finding the Third Proportional to 29,424 and 63,762

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Solution

The third proportional to 29,424 and 63,762 is: 138,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424 : 63,762 = 63,762 : x
  2. Step 2: Convert to fraction form
    29,424/63,762 = 63,762/x
  3. Step 3: Cross multiply
    29,424x = 63,762 × 63,762
  4. Step 4: Simplify right side
    29,424x = 4,065,592,644
  5. Step 5: Solve for x
    x = 4,065,592,644/29,424
  6. Step 6: Final answer
    x = 138,172.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.