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Finding the Third Proportional to 19,505.25 and 26,655.75

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Solution

The third proportional to 19,505.25 and 26,655.75 is: 36,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.25 : 26,655.75 = 26,655.75 : x
  2. Step 2: Convert to fraction form
    19,505.25/26,655.75 = 26,655.75/x
  3. Step 3: Cross multiply
    19,505.25x = 26,655.75 × 26,655.75
  4. Step 4: Simplify right side
    19,505.25x = 710,529,008.06
  5. Step 5: Solve for x
    x = 710,529,008.06/19,505.25
  6. Step 6: Final answer
    x = 36,427.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.