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Finding the Third Proportional to 13,651.66 and 21,084.05

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Solution

The third proportional to 13,651.66 and 21,084.05 is: 32,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.66 : 21,084.05 = 21,084.05 : x
  2. Step 2: Convert to fraction form
    13,651.66/21,084.05 = 21,084.05/x
  3. Step 3: Cross multiply
    13,651.66x = 21,084.05 × 21,084.05
  4. Step 4: Simplify right side
    13,651.66x = 444,537,032.63
  5. Step 5: Solve for x
    x = 444,537,032.63/13,651.66
  6. Step 6: Final answer
    x = 32,562.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.