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Finding the Third Proportional to 10,107 and 11,403

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Solution

The third proportional to 10,107 and 11,403 is: 12,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 11,403 = 11,403 : x
  2. Step 2: Convert to fraction form
    10,107/11,403 = 11,403/x
  3. Step 3: Cross multiply
    10,107x = 11,403 × 11,403
  4. Step 4: Simplify right side
    10,107x = 130,028,409
  5. Step 5: Solve for x
    x = 130,028,409/10,107
  6. Step 6: Final answer
    x = 12,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.