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Finding the Third Proportional to 29,441 and 63,619

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Solution

The third proportional to 29,441 and 63,619 is: 137,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,441 : 63,619 = 63,619 : x
  2. Step 2: Convert to fraction form
    29,441/63,619 = 63,619/x
  3. Step 3: Cross multiply
    29,441x = 63,619 × 63,619
  4. Step 4: Simplify right side
    29,441x = 4,047,377,161
  5. Step 5: Solve for x
    x = 4,047,377,161/29,441
  6. Step 6: Final answer
    x = 137,474.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.