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Finding the Third Proportional to 11,505.09 and 24,823.13

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Solution

The third proportional to 11,505.09 and 24,823.13 is: 53,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.09 : 24,823.13 = 24,823.13 : x
  2. Step 2: Convert to fraction form
    11,505.09/24,823.13 = 24,823.13/x
  3. Step 3: Cross multiply
    11,505.09x = 24,823.13 × 24,823.13
  4. Step 4: Simplify right side
    11,505.09x = 616,187,534.77
  5. Step 5: Solve for x
    x = 616,187,534.77/11,505.09
  6. Step 6: Final answer
    x = 53,557.80

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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.