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Finding the Third Proportional to 18,637 and 28,196

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Solution

The third proportional to 18,637 and 28,196 is: 42,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,637 : 28,196 = 28,196 : x
  2. Step 2: Convert to fraction form
    18,637/28,196 = 28,196/x
  3. Step 3: Cross multiply
    18,637x = 28,196 × 28,196
  4. Step 4: Simplify right side
    18,637x = 795,014,416
  5. Step 5: Solve for x
    x = 795,014,416/18,637
  6. Step 6: Final answer
    x = 42,657.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.