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Finding the Third Proportional to 20,688.75 and 32,775.19

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Solution

The third proportional to 20,688.75 and 32,775.19 is: 51,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,688.75 : 32,775.19 = 32,775.19 : x
  2. Step 2: Convert to fraction form
    20,688.75/32,775.19 = 32,775.19/x
  3. Step 3: Cross multiply
    20,688.75x = 32,775.19 × 32,775.19
  4. Step 4: Simplify right side
    20,688.75x = 1,074,212,915.66
  5. Step 5: Solve for x
    x = 1,074,212,915.66/20,688.75
  6. Step 6: Final answer
    x = 51,922.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.