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Finding the Third Proportional to 10,015.31 and 20,638.13

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Solution

The third proportional to 10,015.31 and 20,638.13 is: 42,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.31 : 20,638.13 = 20,638.13 : x
  2. Step 2: Convert to fraction form
    10,015.31/20,638.13 = 20,638.13/x
  3. Step 3: Cross multiply
    10,015.31x = 20,638.13 × 20,638.13
  4. Step 4: Simplify right side
    10,015.31x = 425,932,203.52
  5. Step 5: Solve for x
    x = 425,932,203.52/10,015.31
  6. Step 6: Final answer
    x = 42,528.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.