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Finding the Third Proportional to 7,197 and 7,894.50

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Solution

The third proportional to 7,197 and 7,894.50 is: 8,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197 : 7,894.50 = 7,894.50 : x
  2. Step 2: Convert to fraction form
    7,197/7,894.50 = 7,894.50/x
  3. Step 3: Cross multiply
    7,197x = 7,894.50 × 7,894.50
  4. Step 4: Simplify right side
    7,197x = 62,323,130.25
  5. Step 5: Solve for x
    x = 62,323,130.25/7,197
  6. Step 6: Final answer
    x = 8,659.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.