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Finding the Third Proportional to 18,291 and 28,237.50

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Solution

The third proportional to 18,291 and 28,237.50 is: 43,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,291 : 28,237.50 = 28,237.50 : x
  2. Step 2: Convert to fraction form
    18,291/28,237.50 = 28,237.50/x
  3. Step 3: Cross multiply
    18,291x = 28,237.50 × 28,237.50
  4. Step 4: Simplify right side
    18,291x = 797,356,406.25
  5. Step 5: Solve for x
    x = 797,356,406.25/18,291
  6. Step 6: Final answer
    x = 43,592.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.