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Finding the Third Proportional to 9,622.69 and 14,394.94

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Solution

The third proportional to 9,622.69 and 14,394.94 is: 21,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.69 : 14,394.94 = 14,394.94 : x
  2. Step 2: Convert to fraction form
    9,622.69/14,394.94 = 14,394.94/x
  3. Step 3: Cross multiply
    9,622.69x = 14,394.94 × 14,394.94
  4. Step 4: Simplify right side
    9,622.69x = 207,214,225.63
  5. Step 5: Solve for x
    x = 207,214,225.63/9,622.69
  6. Step 6: Final answer
    x = 21,533.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.