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Finding the Third Proportional to 10,724 and 18,904

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Solution

The third proportional to 10,724 and 18,904 is: 33,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 18,904 = 18,904 : x
  2. Step 2: Convert to fraction form
    10,724/18,904 = 18,904/x
  3. Step 3: Cross multiply
    10,724x = 18,904 × 18,904
  4. Step 4: Simplify right side
    10,724x = 357,361,216
  5. Step 5: Solve for x
    x = 357,361,216/10,724
  6. Step 6: Final answer
    x = 33,323.50

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.