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Finding the Third Proportional to 29,724 and 44,838

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Solution

The third proportional to 29,724 and 44,838 is: 67,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 44,838 = 44,838 : x
  2. Step 2: Convert to fraction form
    29,724/44,838 = 44,838/x
  3. Step 3: Cross multiply
    29,724x = 44,838 × 44,838
  4. Step 4: Simplify right side
    29,724x = 2,010,446,244
  5. Step 5: Solve for x
    x = 2,010,446,244/29,724
  6. Step 6: Final answer
    x = 67,637.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.