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Finding the Third Proportional to 19,655.25 and 27,784.13

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Solution

The third proportional to 19,655.25 and 27,784.13 is: 39,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.25 : 27,784.13 = 27,784.13 : x
  2. Step 2: Convert to fraction form
    19,655.25/27,784.13 = 27,784.13/x
  3. Step 3: Cross multiply
    19,655.25x = 27,784.13 × 27,784.13
  4. Step 4: Simplify right side
    19,655.25x = 771,957,602.02
  5. Step 5: Solve for x
    x = 771,957,602.02/19,655.25
  6. Step 6: Final answer
    x = 39,274.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.