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Finding the Third Proportional to 10,193.34 and 14,354.72

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Solution

The third proportional to 10,193.34 and 14,354.72 is: 20,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.34 : 14,354.72 = 14,354.72 : x
  2. Step 2: Convert to fraction form
    10,193.34/14,354.72 = 14,354.72/x
  3. Step 3: Cross multiply
    10,193.34x = 14,354.72 × 14,354.72
  4. Step 4: Simplify right side
    10,193.34x = 206,057,950.39
  5. Step 5: Solve for x
    x = 206,057,950.39/10,193.34
  6. Step 6: Final answer
    x = 20,214.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.