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Finding the Third Proportional to 32,921.44 and 77,684.06

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Solution

The third proportional to 32,921.44 and 77,684.06 is: 183,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.44 : 77,684.06 = 77,684.06 : x
  2. Step 2: Convert to fraction form
    32,921.44/77,684.06 = 77,684.06/x
  3. Step 3: Cross multiply
    32,921.44x = 77,684.06 × 77,684.06
  4. Step 4: Simplify right side
    32,921.44x = 6,034,813,566.50
  5. Step 5: Solve for x
    x = 6,034,813,566.50/32,921.44
  6. Step 6: Final answer
    x = 183,309.54

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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.