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Finding the Third Proportional to 6,897.25 and 10,699.19

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Solution

The third proportional to 6,897.25 and 10,699.19 is: 16,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.25 : 10,699.19 = 10,699.19 : x
  2. Step 2: Convert to fraction form
    6,897.25/10,699.19 = 10,699.19/x
  3. Step 3: Cross multiply
    6,897.25x = 10,699.19 × 10,699.19
  4. Step 4: Simplify right side
    6,897.25x = 114,472,613.16
  5. Step 5: Solve for x
    x = 114,472,613.16/6,897.25
  6. Step 6: Final answer
    x = 16,596.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.