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Finding the Third Proportional to 20,423 and 32,578.50

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Solution

The third proportional to 20,423 and 32,578.50 is: 51,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423 : 32,578.50 = 32,578.50 : x
  2. Step 2: Convert to fraction form
    20,423/32,578.50 = 32,578.50/x
  3. Step 3: Cross multiply
    20,423x = 32,578.50 × 32,578.50
  4. Step 4: Simplify right side
    20,423x = 1,061,358,662.25
  5. Step 5: Solve for x
    x = 1,061,358,662.25/20,423
  6. Step 6: Final answer
    x = 51,968.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.