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Finding the Third Proportional to 25,661.25 and 34,602.75

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Solution

The third proportional to 25,661.25 and 34,602.75 is: 46,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661.25 : 34,602.75 = 34,602.75 : x
  2. Step 2: Convert to fraction form
    25,661.25/34,602.75 = 34,602.75/x
  3. Step 3: Cross multiply
    25,661.25x = 34,602.75 × 34,602.75
  4. Step 4: Simplify right side
    25,661.25x = 1,197,350,307.56
  5. Step 5: Solve for x
    x = 1,197,350,307.56/25,661.25
  6. Step 6: Final answer
    x = 46,659.86

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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.