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Finding the Third Proportional to 27,838.69 and 61,887.80

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Solution

The third proportional to 27,838.69 and 61,887.80 is: 137,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.69 : 61,887.80 = 61,887.80 : x
  2. Step 2: Convert to fraction form
    27,838.69/61,887.80 = 61,887.80/x
  3. Step 3: Cross multiply
    27,838.69x = 61,887.80 × 61,887.80
  4. Step 4: Simplify right side
    27,838.69x = 3,830,099,402.04
  5. Step 5: Solve for x
    x = 3,830,099,402.04/27,838.69
  6. Step 6: Final answer
    x = 137,581.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.