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Finding the Third Proportional to 10,597.50 and 20,934

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Solution

The third proportional to 10,597.50 and 20,934 is: 41,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.50 : 20,934 = 20,934 : x
  2. Step 2: Convert to fraction form
    10,597.50/20,934 = 20,934/x
  3. Step 3: Cross multiply
    10,597.50x = 20,934 × 20,934
  4. Step 4: Simplify right side
    10,597.50x = 438,232,356
  5. Step 5: Solve for x
    x = 438,232,356/10,597.50
  6. Step 6: Final answer
    x = 41,352.43

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.