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Finding the Third Proportional to 25,218 and 38,144.25

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Solution

The third proportional to 25,218 and 38,144.25 is: 57,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 38,144.25 = 38,144.25 : x
  2. Step 2: Convert to fraction form
    25,218/38,144.25 = 38,144.25/x
  3. Step 3: Cross multiply
    25,218x = 38,144.25 × 38,144.25
  4. Step 4: Simplify right side
    25,218x = 1,454,983,808.06
  5. Step 5: Solve for x
    x = 1,454,983,808.06/25,218
  6. Step 6: Final answer
    x = 57,696.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.