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Finding the Third Proportional to 32,204.25 and 72,856.13

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Solution

The third proportional to 32,204.25 and 72,856.13 is: 164,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.25 : 72,856.13 = 72,856.13 : x
  2. Step 2: Convert to fraction form
    32,204.25/72,856.13 = 72,856.13/x
  3. Step 3: Cross multiply
    32,204.25x = 72,856.13 × 72,856.13
  4. Step 4: Simplify right side
    32,204.25x = 5,308,014,950.02
  5. Step 5: Solve for x
    x = 5,308,014,950.02/32,204.25
  6. Step 6: Final answer
    x = 164,823.43

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.