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Finding the Third Proportional to 28,346 and 61,687

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Solution

The third proportional to 28,346 and 61,687 is: 134,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,346 : 61,687 = 61,687 : x
  2. Step 2: Convert to fraction form
    28,346/61,687 = 61,687/x
  3. Step 3: Cross multiply
    28,346x = 61,687 × 61,687
  4. Step 4: Simplify right side
    28,346x = 3,805,285,969
  5. Step 5: Solve for x
    x = 3,805,285,969/28,346
  6. Step 6: Final answer
    x = 134,244.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.