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Finding the Third Proportional to 11,582 and 24,966

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Solution

The third proportional to 11,582 and 24,966 is: 53,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582 : 24,966 = 24,966 : x
  2. Step 2: Convert to fraction form
    11,582/24,966 = 24,966/x
  3. Step 3: Cross multiply
    11,582x = 24,966 × 24,966
  4. Step 4: Simplify right side
    11,582x = 623,301,156
  5. Step 5: Solve for x
    x = 623,301,156/11,582
  6. Step 6: Final answer
    x = 53,816.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.