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Finding the Third Proportional to 29,724 and 66,009

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Solution

The third proportional to 29,724 and 66,009 is: 146,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 66,009 = 66,009 : x
  2. Step 2: Convert to fraction form
    29,724/66,009 = 66,009/x
  3. Step 3: Cross multiply
    29,724x = 66,009 × 66,009
  4. Step 4: Simplify right side
    29,724x = 4,357,188,081
  5. Step 5: Solve for x
    x = 4,357,188,081/29,724
  6. Step 6: Final answer
    x = 146,588.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.