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Finding the Third Proportional to 28,832 and 63,129

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Solution

The third proportional to 28,832 and 63,129 is: 138,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,832 : 63,129 = 63,129 : x
  2. Step 2: Convert to fraction form
    28,832/63,129 = 63,129/x
  3. Step 3: Cross multiply
    28,832x = 63,129 × 63,129
  4. Step 4: Simplify right side
    28,832x = 3,985,270,641
  5. Step 5: Solve for x
    x = 3,985,270,641/28,832
  6. Step 6: Final answer
    x = 138,223.87

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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.