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Finding the Third Proportional to 18,533.25 and 28,686.38

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Solution

The third proportional to 18,533.25 and 28,686.38 is: 44,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.25 : 28,686.38 = 28,686.38 : x
  2. Step 2: Convert to fraction form
    18,533.25/28,686.38 = 28,686.38/x
  3. Step 3: Cross multiply
    18,533.25x = 28,686.38 × 28,686.38
  4. Step 4: Simplify right side
    18,533.25x = 822,908,110.64
  5. Step 5: Solve for x
    x = 822,908,110.64/18,533.25
  6. Step 6: Final answer
    x = 44,401.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.