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Finding the Third Proportional to 10,909.69 and 23,559.19

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Solution

The third proportional to 10,909.69 and 23,559.19 is: 50,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 23,559.19 = 23,559.19 : x
  2. Step 2: Convert to fraction form
    10,909.69/23,559.19 = 23,559.19/x
  3. Step 3: Cross multiply
    10,909.69x = 23,559.19 × 23,559.19
  4. Step 4: Simplify right side
    10,909.69x = 555,035,315.66
  5. Step 5: Solve for x
    x = 555,035,315.66/10,909.69
  6. Step 6: Final answer
    x = 50,875.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.