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Finding the Third Proportional to 25,734 and 40,102.50

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Solution

The third proportional to 25,734 and 40,102.50 is: 62,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734 : 40,102.50 = 40,102.50 : x
  2. Step 2: Convert to fraction form
    25,734/40,102.50 = 40,102.50/x
  3. Step 3: Cross multiply
    25,734x = 40,102.50 × 40,102.50
  4. Step 4: Simplify right side
    25,734x = 1,608,210,506.25
  5. Step 5: Solve for x
    x = 1,608,210,506.25/25,734
  6. Step 6: Final answer
    x = 62,493.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.