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Finding the Third Proportional to 21,024 and 32,904

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Solution

The third proportional to 21,024 and 32,904 is: 51,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 32,904 = 32,904 : x
  2. Step 2: Convert to fraction form
    21,024/32,904 = 32,904/x
  3. Step 3: Cross multiply
    21,024x = 32,904 × 32,904
  4. Step 4: Simplify right side
    21,024x = 1,082,673,216
  5. Step 5: Solve for x
    x = 1,082,673,216/21,024
  6. Step 6: Final answer
    x = 51,497.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.