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Finding the Third Proportional to 7,230 and 10,816.50

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Solution

The third proportional to 7,230 and 10,816.50 is: 16,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230 : 10,816.50 = 10,816.50 : x
  2. Step 2: Convert to fraction form
    7,230/10,816.50 = 10,816.50/x
  3. Step 3: Cross multiply
    7,230x = 10,816.50 × 10,816.50
  4. Step 4: Simplify right side
    7,230x = 116,996,672.25
  5. Step 5: Solve for x
    x = 116,996,672.25/7,230
  6. Step 6: Final answer
    x = 16,182.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.