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Finding the Third Proportional to 18,827 and 28,242.50

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Solution

The third proportional to 18,827 and 28,242.50 is: 42,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827 : 28,242.50 = 28,242.50 : x
  2. Step 2: Convert to fraction form
    18,827/28,242.50 = 28,242.50/x
  3. Step 3: Cross multiply
    18,827x = 28,242.50 × 28,242.50
  4. Step 4: Simplify right side
    18,827x = 797,638,806.25
  5. Step 5: Solve for x
    x = 797,638,806.25/18,827
  6. Step 6: Final answer
    x = 42,366.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.