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Finding the Third Proportional to 10,909.69 and 23,133.09

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Solution

The third proportional to 10,909.69 and 23,133.09 is: 49,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 23,133.09 = 23,133.09 : x
  2. Step 2: Convert to fraction form
    10,909.69/23,133.09 = 23,133.09/x
  3. Step 3: Cross multiply
    10,909.69x = 23,133.09 × 23,133.09
  4. Step 4: Simplify right side
    10,909.69x = 535,140,026.45
  5. Step 5: Solve for x
    x = 535,140,026.45/10,909.69
  6. Step 6: Final answer
    x = 49,051.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.