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Finding the Third Proportional to 10,021.50 and 13,108.50

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Solution

The third proportional to 10,021.50 and 13,108.50 is: 17,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.50 : 13,108.50 = 13,108.50 : x
  2. Step 2: Convert to fraction form
    10,021.50/13,108.50 = 13,108.50/x
  3. Step 3: Cross multiply
    10,021.50x = 13,108.50 × 13,108.50
  4. Step 4: Simplify right side
    10,021.50x = 171,832,772.25
  5. Step 5: Solve for x
    x = 171,832,772.25/10,021.50
  6. Step 6: Final answer
    x = 17,146.41

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.