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Finding the Third Proportional to 32,115 and 69,009

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Solution

The third proportional to 32,115 and 69,009 is: 148,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115 : 69,009 = 69,009 : x
  2. Step 2: Convert to fraction form
    32,115/69,009 = 69,009/x
  3. Step 3: Cross multiply
    32,115x = 69,009 × 69,009
  4. Step 4: Simplify right side
    32,115x = 4,762,242,081
  5. Step 5: Solve for x
    x = 4,762,242,081/32,115
  6. Step 6: Final answer
    x = 148,287.16

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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.