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Finding the Third Proportional to 9,724 and 20,904

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Solution

The third proportional to 9,724 and 20,904 is: 44,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 20,904 = 20,904 : x
  2. Step 2: Convert to fraction form
    9,724/20,904 = 20,904/x
  3. Step 3: Cross multiply
    9,724x = 20,904 × 20,904
  4. Step 4: Simplify right side
    9,724x = 436,977,216
  5. Step 5: Solve for x
    x = 436,977,216/9,724
  6. Step 6: Final answer
    x = 44,938.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.