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Finding the Third Proportional to 29,298 and 63,093

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Solution

The third proportional to 29,298 and 63,093 is: 135,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298 : 63,093 = 63,093 : x
  2. Step 2: Convert to fraction form
    29,298/63,093 = 63,093/x
  3. Step 3: Cross multiply
    29,298x = 63,093 × 63,093
  4. Step 4: Simplify right side
    29,298x = 3,980,726,649
  5. Step 5: Solve for x
    x = 3,980,726,649/29,298
  6. Step 6: Final answer
    x = 135,870.25

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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.