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Finding the Third Proportional to 25,985.25 and 39,211.88

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Solution

The third proportional to 25,985.25 and 39,211.88 is: 59,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.25 : 39,211.88 = 39,211.88 : x
  2. Step 2: Convert to fraction form
    25,985.25/39,211.88 = 39,211.88/x
  3. Step 3: Cross multiply
    25,985.25x = 39,211.88 × 39,211.88
  4. Step 4: Simplify right side
    25,985.25x = 1,537,571,141.02
  5. Step 5: Solve for x
    x = 1,537,571,141.02/25,985.25
  6. Step 6: Final answer
    x = 59,170.92

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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.