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Finding the Third Proportional to 8,537 and 9,773

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Solution

The third proportional to 8,537 and 9,773 is: 11,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537 : 9,773 = 9,773 : x
  2. Step 2: Convert to fraction form
    8,537/9,773 = 9,773/x
  3. Step 3: Cross multiply
    8,537x = 9,773 × 9,773
  4. Step 4: Simplify right side
    8,537x = 95,511,529
  5. Step 5: Solve for x
    x = 95,511,529/8,537
  6. Step 6: Final answer
    x = 11,187.95

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.