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Finding the Third Proportional to 28,735 and 61,843

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Solution

The third proportional to 28,735 and 61,843 is: 133,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,735 : 61,843 = 61,843 : x
  2. Step 2: Convert to fraction form
    28,735/61,843 = 61,843/x
  3. Step 3: Cross multiply
    28,735x = 61,843 × 61,843
  4. Step 4: Simplify right side
    28,735x = 3,824,556,649
  5. Step 5: Solve for x
    x = 3,824,556,649/28,735
  6. Step 6: Final answer
    x = 133,097.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.