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Finding the Third Proportional to 18,566 and 28,728.50

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Solution

The third proportional to 18,566 and 28,728.50 is: 44,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566 : 28,728.50 = 28,728.50 : x
  2. Step 2: Convert to fraction form
    18,566/28,728.50 = 28,728.50/x
  3. Step 3: Cross multiply
    18,566x = 28,728.50 × 28,728.50
  4. Step 4: Simplify right side
    18,566x = 825,326,712.25
  5. Step 5: Solve for x
    x = 825,326,712.25/18,566
  6. Step 6: Final answer
    x = 44,453.66

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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.