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Finding the Third Proportional to 25,914 and 40,016.25

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Solution

The third proportional to 25,914 and 40,016.25 is: 61,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 40,016.25 = 40,016.25 : x
  2. Step 2: Convert to fraction form
    25,914/40,016.25 = 40,016.25/x
  3. Step 3: Cross multiply
    25,914x = 40,016.25 × 40,016.25
  4. Step 4: Simplify right side
    25,914x = 1,601,300,264.06
  5. Step 5: Solve for x
    x = 1,601,300,264.06/25,914
  6. Step 6: Final answer
    x = 61,792.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.