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Finding the Third Proportional to 21,733.69 and 50,317.13

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Solution

The third proportional to 21,733.69 and 50,317.13 is: 116,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733.69 : 50,317.13 = 50,317.13 : x
  2. Step 2: Convert to fraction form
    21,733.69/50,317.13 = 50,317.13/x
  3. Step 3: Cross multiply
    21,733.69x = 50,317.13 × 50,317.13
  4. Step 4: Simplify right side
    21,733.69x = 2,531,813,068.27
  5. Step 5: Solve for x
    x = 2,531,813,068.27/21,733.69
  6. Step 6: Final answer
    x = 116,492.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.