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Finding the Third Proportional to 20,981.53 and 32,488.91

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Solution

The third proportional to 20,981.53 and 32,488.91 is: 50,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.53 : 32,488.91 = 32,488.91 : x
  2. Step 2: Convert to fraction form
    20,981.53/32,488.91 = 32,488.91/x
  3. Step 3: Cross multiply
    20,981.53x = 32,488.91 × 32,488.91
  4. Step 4: Simplify right side
    20,981.53x = 1,055,529,283.14
  5. Step 5: Solve for x
    x = 1,055,529,283.14/20,981.53
  6. Step 6: Final answer
    x = 50,307.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.