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Finding the Third Proportional to 7,402.50 and 12,138.75

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Solution

The third proportional to 7,402.50 and 12,138.75 is: 19,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.50 : 12,138.75 = 12,138.75 : x
  2. Step 2: Convert to fraction form
    7,402.50/12,138.75 = 12,138.75/x
  3. Step 3: Cross multiply
    7,402.50x = 12,138.75 × 12,138.75
  4. Step 4: Simplify right side
    7,402.50x = 147,349,251.56
  5. Step 5: Solve for x
    x = 147,349,251.56/7,402.50
  6. Step 6: Final answer
    x = 19,905.34

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.