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Finding the Third Proportional to 9,510 and 13,902.75

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Solution

The third proportional to 9,510 and 13,902.75 is: 20,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510 : 13,902.75 = 13,902.75 : x
  2. Step 2: Convert to fraction form
    9,510/13,902.75 = 13,902.75/x
  3. Step 3: Cross multiply
    9,510x = 13,902.75 × 13,902.75
  4. Step 4: Simplify right side
    9,510x = 193,286,457.56
  5. Step 5: Solve for x
    x = 193,286,457.56/9,510
  6. Step 6: Final answer
    x = 20,324.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.