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Finding the Third Proportional to 29,642 and 69,973

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Solution

The third proportional to 29,642 and 69,973 is: 165,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642 : 69,973 = 69,973 : x
  2. Step 2: Convert to fraction form
    29,642/69,973 = 69,973/x
  3. Step 3: Cross multiply
    29,642x = 69,973 × 69,973
  4. Step 4: Simplify right side
    29,642x = 4,896,220,729
  5. Step 5: Solve for x
    x = 4,896,220,729/29,642
  6. Step 6: Final answer
    x = 165,178.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.