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Finding the Third Proportional to 12,152.53 and 19,843.88

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Solution

The third proportional to 12,152.53 and 19,843.88 is: 32,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.53 : 19,843.88 = 19,843.88 : x
  2. Step 2: Convert to fraction form
    12,152.53/19,843.88 = 19,843.88/x
  3. Step 3: Cross multiply
    12,152.53x = 19,843.88 × 19,843.88
  4. Step 4: Simplify right side
    12,152.53x = 393,779,375.02
  5. Step 5: Solve for x
    x = 393,779,375.02/12,152.53
  6. Step 6: Final answer
    x = 32,403.07

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.