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Finding the Third Proportional to 10,826.44 and 22,503.38

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Solution

The third proportional to 10,826.44 and 22,503.38 is: 46,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.44 : 22,503.38 = 22,503.38 : x
  2. Step 2: Convert to fraction form
    10,826.44/22,503.38 = 22,503.38/x
  3. Step 3: Cross multiply
    10,826.44x = 22,503.38 × 22,503.38
  4. Step 4: Simplify right side
    10,826.44x = 506,401,886.39
  5. Step 5: Solve for x
    x = 506,401,886.39/10,826.44
  6. Step 6: Final answer
    x = 46,774.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.