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Finding the Third Proportional to 4,498.03 and 12,177.84

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Solution

The third proportional to 4,498.03 and 12,177.84 is: 32,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.03 : 12,177.84 = 12,177.84 : x
  2. Step 2: Convert to fraction form
    4,498.03/12,177.84 = 12,177.84/x
  3. Step 3: Cross multiply
    4,498.03x = 12,177.84 × 12,177.84
  4. Step 4: Simplify right side
    4,498.03x = 148,299,878.40
  5. Step 5: Solve for x
    x = 148,299,878.40/4,498.03
  6. Step 6: Final answer
    x = 32,969.95

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.