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Finding the Third Proportional to 32,918.06 and 77,659.31

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Solution

The third proportional to 32,918.06 and 77,659.31 is: 183,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918.06 : 77,659.31 = 77,659.31 : x
  2. Step 2: Convert to fraction form
    32,918.06/77,659.31 = 77,659.31/x
  3. Step 3: Cross multiply
    32,918.06x = 77,659.31 × 77,659.31
  4. Step 4: Simplify right side
    32,918.06x = 6,030,968,817.97
  5. Step 5: Solve for x
    x = 6,030,968,817.97/32,918.06
  6. Step 6: Final answer
    x = 183,211.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.