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Finding the Third Proportional to 11,948.77 and 18,492.68

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Solution

The third proportional to 11,948.77 and 18,492.68 is: 28,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.77 : 18,492.68 = 18,492.68 : x
  2. Step 2: Convert to fraction form
    11,948.77/18,492.68 = 18,492.68/x
  3. Step 3: Cross multiply
    11,948.77x = 18,492.68 × 18,492.68
  4. Step 4: Simplify right side
    11,948.77x = 341,979,202.02
  5. Step 5: Solve for x
    x = 341,979,202.02/11,948.77
  6. Step 6: Final answer
    x = 28,620.46

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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.