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Finding the Third Proportional to 11,903.25 and 22,726.50

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Solution

The third proportional to 11,903.25 and 22,726.50 is: 43,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.25 : 22,726.50 = 22,726.50 : x
  2. Step 2: Convert to fraction form
    11,903.25/22,726.50 = 22,726.50/x
  3. Step 3: Cross multiply
    11,903.25x = 22,726.50 × 22,726.50
  4. Step 4: Simplify right side
    11,903.25x = 516,493,802.25
  5. Step 5: Solve for x
    x = 516,493,802.25/11,903.25
  6. Step 6: Final answer
    x = 43,390.99

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.