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Finding the Third Proportional to 28,733 and 63,127

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Solution

The third proportional to 28,733 and 63,127 is: 138,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,733 : 63,127 = 63,127 : x
  2. Step 2: Convert to fraction form
    28,733/63,127 = 63,127/x
  3. Step 3: Cross multiply
    28,733x = 63,127 × 63,127
  4. Step 4: Simplify right side
    28,733x = 3,985,018,129
  5. Step 5: Solve for x
    x = 3,985,018,129/28,733
  6. Step 6: Final answer
    x = 138,691.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.