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Finding the Third Proportional to 19,878.75 and 32,302.13

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Solution

The third proportional to 19,878.75 and 32,302.13 is: 52,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.75 : 32,302.13 = 32,302.13 : x
  2. Step 2: Convert to fraction form
    19,878.75/32,302.13 = 32,302.13/x
  3. Step 3: Cross multiply
    19,878.75x = 32,302.13 × 32,302.13
  4. Step 4: Simplify right side
    19,878.75x = 1,043,427,279.52
  5. Step 5: Solve for x
    x = 1,043,427,279.52/19,878.75
  6. Step 6: Final answer
    x = 52,489.58

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.