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Finding the Third Proportional to 7,402.50 and 13,306.50

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Solution

The third proportional to 7,402.50 and 13,306.50 is: 23,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.50 : 13,306.50 = 13,306.50 : x
  2. Step 2: Convert to fraction form
    7,402.50/13,306.50 = 13,306.50/x
  3. Step 3: Cross multiply
    7,402.50x = 13,306.50 × 13,306.50
  4. Step 4: Simplify right side
    7,402.50x = 177,062,942.25
  5. Step 5: Solve for x
    x = 177,062,942.25/7,402.50
  6. Step 6: Final answer
    x = 23,919.34

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.