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Finding the Third Proportional to 10,633 and 24,669

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Solution

The third proportional to 10,633 and 24,669 is: 57,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633 : 24,669 = 24,669 : x
  2. Step 2: Convert to fraction form
    10,633/24,669 = 24,669/x
  3. Step 3: Cross multiply
    10,633x = 24,669 × 24,669
  4. Step 4: Simplify right side
    10,633x = 608,559,561
  5. Step 5: Solve for x
    x = 608,559,561/10,633
  6. Step 6: Final answer
    x = 57,233.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.