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Finding the Third Proportional to 10,664 and 24,921.13

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Solution

The third proportional to 10,664 and 24,921.13 is: 58,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664 : 24,921.13 = 24,921.13 : x
  2. Step 2: Convert to fraction form
    10,664/24,921.13 = 24,921.13/x
  3. Step 3: Cross multiply
    10,664x = 24,921.13 × 24,921.13
  4. Step 4: Simplify right side
    10,664x = 621,062,471.27
  5. Step 5: Solve for x
    x = 621,062,471.27/10,664
  6. Step 6: Final answer
    x = 58,239.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.