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Finding the Third Proportional to 10,383 and 13,132.50

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Solution

The third proportional to 10,383 and 13,132.50 is: 16,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 13,132.50 = 13,132.50 : x
  2. Step 2: Convert to fraction form
    10,383/13,132.50 = 13,132.50/x
  3. Step 3: Cross multiply
    10,383x = 13,132.50 × 13,132.50
  4. Step 4: Simplify right side
    10,383x = 172,462,556.25
  5. Step 5: Solve for x
    x = 172,462,556.25/10,383
  6. Step 6: Final answer
    x = 16,610.09

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.