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Finding the Third Proportional to 16,683.75 and 20,632.50

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Solution

The third proportional to 16,683.75 and 20,632.50 is: 25,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.75 : 20,632.50 = 20,632.50 : x
  2. Step 2: Convert to fraction form
    16,683.75/20,632.50 = 20,632.50/x
  3. Step 3: Cross multiply
    16,683.75x = 20,632.50 × 20,632.50
  4. Step 4: Simplify right side
    16,683.75x = 425,700,056.25
  5. Step 5: Solve for x
    x = 425,700,056.25/16,683.75
  6. Step 6: Final answer
    x = 25,515.85

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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.