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Finding the Third Proportional to 14,843.25 and 19,784.25

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Solution

The third proportional to 14,843.25 and 19,784.25 is: 26,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.25 : 19,784.25 = 19,784.25 : x
  2. Step 2: Convert to fraction form
    14,843.25/19,784.25 = 19,784.25/x
  3. Step 3: Cross multiply
    14,843.25x = 19,784.25 × 19,784.25
  4. Step 4: Simplify right side
    14,843.25x = 391,416,548.06
  5. Step 5: Solve for x
    x = 391,416,548.06/14,843.25
  6. Step 6: Final answer
    x = 26,370.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.