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Finding the Third Proportional to 7,193.18 and 15,385.57

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Solution

The third proportional to 7,193.18 and 15,385.57 is: 32,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.18 : 15,385.57 = 15,385.57 : x
  2. Step 2: Convert to fraction form
    7,193.18/15,385.57 = 15,385.57/x
  3. Step 3: Cross multiply
    7,193.18x = 15,385.57 × 15,385.57
  4. Step 4: Simplify right side
    7,193.18x = 236,715,773.84
  5. Step 5: Solve for x
    x = 236,715,773.84/7,193.18
  6. Step 6: Final answer
    x = 32,908.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.