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Finding the Third Proportional to 9,600.38 and 14,900.06

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Solution

The third proportional to 9,600.38 and 14,900.06 is: 23,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.38 : 14,900.06 = 14,900.06 : x
  2. Step 2: Convert to fraction form
    9,600.38/14,900.06 = 14,900.06/x
  3. Step 3: Cross multiply
    9,600.38x = 14,900.06 × 14,900.06
  4. Step 4: Simplify right side
    9,600.38x = 222,011,862.50
  5. Step 5: Solve for x
    x = 222,011,862.50/9,600.38
  6. Step 6: Final answer
    x = 23,125.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.