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Finding the Third Proportional to 28,596 and 63,009

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Solution

The third proportional to 28,596 and 63,009 is: 138,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596 : 63,009 = 63,009 : x
  2. Step 2: Convert to fraction form
    28,596/63,009 = 63,009/x
  3. Step 3: Cross multiply
    28,596x = 63,009 × 63,009
  4. Step 4: Simplify right side
    28,596x = 3,970,134,081
  5. Step 5: Solve for x
    x = 3,970,134,081/28,596
  6. Step 6: Final answer
    x = 138,835.29

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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.