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Finding the Third Proportional to 28,298 and 61,982

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Solution

The third proportional to 28,298 and 61,982 is: 135,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298 : 61,982 = 61,982 : x
  2. Step 2: Convert to fraction form
    28,298/61,982 = 61,982/x
  3. Step 3: Cross multiply
    28,298x = 61,982 × 61,982
  4. Step 4: Simplify right side
    28,298x = 3,841,768,324
  5. Step 5: Solve for x
    x = 3,841,768,324/28,298
  6. Step 6: Final answer
    x = 135,761.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.