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Finding the Third Proportional to 28,846 and 62,612.25

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Solution

The third proportional to 28,846 and 62,612.25 is: 135,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,846 : 62,612.25 = 62,612.25 : x
  2. Step 2: Convert to fraction form
    28,846/62,612.25 = 62,612.25/x
  3. Step 3: Cross multiply
    28,846x = 62,612.25 × 62,612.25
  4. Step 4: Simplify right side
    28,846x = 3,920,293,850.06
  5. Step 5: Solve for x
    x = 3,920,293,850.06/28,846
  6. Step 6: Final answer
    x = 135,904.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.