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Finding the Third Proportional to 11,712.41 and 24,731.89

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Solution

The third proportional to 11,712.41 and 24,731.89 is: 52,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.41 : 24,731.89 = 24,731.89 : x
  2. Step 2: Convert to fraction form
    11,712.41/24,731.89 = 24,731.89/x
  3. Step 3: Cross multiply
    11,712.41x = 24,731.89 × 24,731.89
  4. Step 4: Simplify right side
    11,712.41x = 611,666,607.10
  5. Step 5: Solve for x
    x = 611,666,607.10/11,712.41
  6. Step 6: Final answer
    x = 52,223.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.