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Finding the Third Proportional to 10,277.44 and 22,457.25

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Solution

The third proportional to 10,277.44 and 22,457.25 is: 49,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.44 : 22,457.25 = 22,457.25 : x
  2. Step 2: Convert to fraction form
    10,277.44/22,457.25 = 22,457.25/x
  3. Step 3: Cross multiply
    10,277.44x = 22,457.25 × 22,457.25
  4. Step 4: Simplify right side
    10,277.44x = 504,328,077.56
  5. Step 5: Solve for x
    x = 504,328,077.56/10,277.44
  6. Step 6: Final answer
    x = 49,071.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.