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Finding the Third Proportional to 24,537 and 51,999

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Solution

The third proportional to 24,537 and 51,999 is: 110,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537 : 51,999 = 51,999 : x
  2. Step 2: Convert to fraction form
    24,537/51,999 = 51,999/x
  3. Step 3: Cross multiply
    24,537x = 51,999 × 51,999
  4. Step 4: Simplify right side
    24,537x = 2,703,896,001
  5. Step 5: Solve for x
    x = 2,703,896,001/24,537
  6. Step 6: Final answer
    x = 110,196.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.