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Finding the Third Proportional to 7,197 and 9,723.50

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Solution

The third proportional to 7,197 and 9,723.50 is: 13,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197 : 9,723.50 = 9,723.50 : x
  2. Step 2: Convert to fraction form
    7,197/9,723.50 = 9,723.50/x
  3. Step 3: Cross multiply
    7,197x = 9,723.50 × 9,723.50
  4. Step 4: Simplify right side
    7,197x = 94,546,452.25
  5. Step 5: Solve for x
    x = 94,546,452.25/7,197
  6. Step 6: Final answer
    x = 13,136.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.