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Finding the Third Proportional to 10,733.25 and 22,446.25

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Solution

The third proportional to 10,733.25 and 22,446.25 is: 46,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.25 : 22,446.25 = 22,446.25 : x
  2. Step 2: Convert to fraction form
    10,733.25/22,446.25 = 22,446.25/x
  3. Step 3: Cross multiply
    10,733.25x = 22,446.25 × 22,446.25
  4. Step 4: Simplify right side
    10,733.25x = 503,834,139.06
  5. Step 5: Solve for x
    x = 503,834,139.06/10,733.25
  6. Step 6: Final answer
    x = 46,941.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.