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Finding the Third Proportional to 16,402.50 and 38,508.75

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Solution

The third proportional to 16,402.50 and 38,508.75 is: 90,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.50 : 38,508.75 = 38,508.75 : x
  2. Step 2: Convert to fraction form
    16,402.50/38,508.75 = 38,508.75/x
  3. Step 3: Cross multiply
    16,402.50x = 38,508.75 × 38,508.75
  4. Step 4: Simplify right side
    16,402.50x = 1,482,923,826.56
  5. Step 5: Solve for x
    x = 1,482,923,826.56/16,402.50
  6. Step 6: Final answer
    x = 90,408.40

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.