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Finding the Third Proportional to 15,703.31 and 34,172.44

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Solution

The third proportional to 15,703.31 and 34,172.44 is: 74,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.31 : 34,172.44 = 34,172.44 : x
  2. Step 2: Convert to fraction form
    15,703.31/34,172.44 = 34,172.44/x
  3. Step 3: Cross multiply
    15,703.31x = 34,172.44 × 34,172.44
  4. Step 4: Simplify right side
    15,703.31x = 1,167,755,484.69
  5. Step 5: Solve for x
    x = 1,167,755,484.69/15,703.31
  6. Step 6: Final answer
    x = 74,363.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.