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Finding the Third Proportional to 11,032.59 and 23,977.69

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Solution

The third proportional to 11,032.59 and 23,977.69 is: 52,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.59 : 23,977.69 = 23,977.69 : x
  2. Step 2: Convert to fraction form
    11,032.59/23,977.69 = 23,977.69/x
  3. Step 3: Cross multiply
    11,032.59x = 23,977.69 × 23,977.69
  4. Step 4: Simplify right side
    11,032.59x = 574,929,497.85
  5. Step 5: Solve for x
    x = 574,929,497.85/11,032.59
  6. Step 6: Final answer
    x = 52,111.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.