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Finding the Third Proportional to 10,243.13 and 16,144.31

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Solution

The third proportional to 10,243.13 and 16,144.31 is: 25,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.13 : 16,144.31 = 16,144.31 : x
  2. Step 2: Convert to fraction form
    10,243.13/16,144.31 = 16,144.31/x
  3. Step 3: Cross multiply
    10,243.13x = 16,144.31 × 16,144.31
  4. Step 4: Simplify right side
    10,243.13x = 260,638,826.10
  5. Step 5: Solve for x
    x = 260,638,826.10/10,243.13
  6. Step 6: Final answer
    x = 25,445.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.