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Finding the Third Proportional to 7,816.50 and 11,463.75

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Solution

The third proportional to 7,816.50 and 11,463.75 is: 16,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.50 : 11,463.75 = 11,463.75 : x
  2. Step 2: Convert to fraction form
    7,816.50/11,463.75 = 11,463.75/x
  3. Step 3: Cross multiply
    7,816.50x = 11,463.75 × 11,463.75
  4. Step 4: Simplify right side
    7,816.50x = 131,417,564.06
  5. Step 5: Solve for x
    x = 131,417,564.06/7,816.50
  6. Step 6: Final answer
    x = 16,812.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.