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Finding the Third Proportional to 21,726 and 25,290

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Solution

The third proportional to 21,726 and 25,290 is: 29,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726 : 25,290 = 25,290 : x
  2. Step 2: Convert to fraction form
    21,726/25,290 = 25,290/x
  3. Step 3: Cross multiply
    21,726x = 25,290 × 25,290
  4. Step 4: Simplify right side
    21,726x = 639,584,100
  5. Step 5: Solve for x
    x = 639,584,100/21,726
  6. Step 6: Final answer
    x = 29,438.65

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.