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Finding the Third Proportional to 7,277 and 8,897

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Solution

The third proportional to 7,277 and 8,897 is: 10,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277 : 8,897 = 8,897 : x
  2. Step 2: Convert to fraction form
    7,277/8,897 = 8,897/x
  3. Step 3: Cross multiply
    7,277x = 8,897 × 8,897
  4. Step 4: Simplify right side
    7,277x = 79,156,609
  5. Step 5: Solve for x
    x = 79,156,609/7,277
  6. Step 6: Final answer
    x = 10,877.64

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.