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Finding the Third Proportional to 7,177 and 7,897

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Solution

The third proportional to 7,177 and 7,897 is: 8,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177 : 7,897 = 7,897 : x
  2. Step 2: Convert to fraction form
    7,177/7,897 = 7,897/x
  3. Step 3: Cross multiply
    7,177x = 7,897 × 7,897
  4. Step 4: Simplify right side
    7,177x = 62,362,609
  5. Step 5: Solve for x
    x = 62,362,609/7,177
  6. Step 6: Final answer
    x = 8,689.23

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