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Finding the Third Proportional to 19,226 and 25,868.50

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Solution

The third proportional to 19,226 and 25,868.50 is: 34,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 25,868.50 = 25,868.50 : x
  2. Step 2: Convert to fraction form
    19,226/25,868.50 = 25,868.50/x
  3. Step 3: Cross multiply
    19,226x = 25,868.50 × 25,868.50
  4. Step 4: Simplify right side
    19,226x = 669,179,292.25
  5. Step 5: Solve for x
    x = 669,179,292.25/19,226
  6. Step 6: Final answer
    x = 34,805.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.