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Finding the Third Proportional to 8,765 and 13,113

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Solution

The third proportional to 8,765 and 13,113 is: 19,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765 : 13,113 = 13,113 : x
  2. Step 2: Convert to fraction form
    8,765/13,113 = 13,113/x
  3. Step 3: Cross multiply
    8,765x = 13,113 × 13,113
  4. Step 4: Simplify right side
    8,765x = 171,950,769
  5. Step 5: Solve for x
    x = 171,950,769/8,765
  6. Step 6: Final answer
    x = 19,617.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.