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Finding the Third Proportional to 10,110 and 13,514

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Solution

The third proportional to 10,110 and 13,514 is: 18,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110 : 13,514 = 13,514 : x
  2. Step 2: Convert to fraction form
    10,110/13,514 = 13,514/x
  3. Step 3: Cross multiply
    10,110x = 13,514 × 13,514
  4. Step 4: Simplify right side
    10,110x = 182,628,196
  5. Step 5: Solve for x
    x = 182,628,196/10,110
  6. Step 6: Final answer
    x = 18,064.11

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.