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Finding the Third Proportional to 11,607.75 and 24,714

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Solution

The third proportional to 11,607.75 and 24,714 is: 52,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.75 : 24,714 = 24,714 : x
  2. Step 2: Convert to fraction form
    11,607.75/24,714 = 24,714/x
  3. Step 3: Cross multiply
    11,607.75x = 24,714 × 24,714
  4. Step 4: Simplify right side
    11,607.75x = 610,781,796
  5. Step 5: Solve for x
    x = 610,781,796/11,607.75
  6. Step 6: Final answer
    x = 52,618.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.