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Finding the Third Proportional to 25,611 and 40,087.50

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Solution

The third proportional to 25,611 and 40,087.50 is: 62,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,611 : 40,087.50 = 40,087.50 : x
  2. Step 2: Convert to fraction form
    25,611/40,087.50 = 40,087.50/x
  3. Step 3: Cross multiply
    25,611x = 40,087.50 × 40,087.50
  4. Step 4: Simplify right side
    25,611x = 1,607,007,656.25
  5. Step 5: Solve for x
    x = 1,607,007,656.25/25,611
  6. Step 6: Final answer
    x = 62,746.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.