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Finding the Third Proportional to 20,522.25 and 30,931.88

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Solution

The third proportional to 20,522.25 and 30,931.88 is: 46,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.25 : 30,931.88 = 30,931.88 : x
  2. Step 2: Convert to fraction form
    20,522.25/30,931.88 = 30,931.88/x
  3. Step 3: Cross multiply
    20,522.25x = 30,931.88 × 30,931.88
  4. Step 4: Simplify right side
    20,522.25x = 956,780,891.02
  5. Step 5: Solve for x
    x = 956,780,891.02/20,522.25
  6. Step 6: Final answer
    x = 46,621.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.