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Finding the Third Proportional to 24,984.07 and 52,774.66

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Solution

The third proportional to 24,984.07 and 52,774.66 is: 111,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984.07 : 52,774.66 = 52,774.66 : x
  2. Step 2: Convert to fraction form
    24,984.07/52,774.66 = 52,774.66/x
  3. Step 3: Cross multiply
    24,984.07x = 52,774.66 × 52,774.66
  4. Step 4: Simplify right side
    24,984.07x = 2,785,165,166.91
  5. Step 5: Solve for x
    x = 2,785,165,166.91/24,984.07
  6. Step 6: Final answer
    x = 111,477.64

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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.