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Finding the Third Proportional to 9,205.69 and 14,400.94

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Solution

The third proportional to 9,205.69 and 14,400.94 is: 22,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.69 : 14,400.94 = 14,400.94 : x
  2. Step 2: Convert to fraction form
    9,205.69/14,400.94 = 14,400.94/x
  3. Step 3: Cross multiply
    9,205.69x = 14,400.94 × 14,400.94
  4. Step 4: Simplify right side
    9,205.69x = 207,387,000.88
  5. Step 5: Solve for x
    x = 207,387,000.88/9,205.69
  6. Step 6: Final answer
    x = 22,528.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.