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Finding the Third Proportional to 25,014 and 37,612.50

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Solution

The third proportional to 25,014 and 37,612.50 is: 56,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,014 : 37,612.50 = 37,612.50 : x
  2. Step 2: Convert to fraction form
    25,014/37,612.50 = 37,612.50/x
  3. Step 3: Cross multiply
    25,014x = 37,612.50 × 37,612.50
  4. Step 4: Simplify right side
    25,014x = 1,414,700,156.25
  5. Step 5: Solve for x
    x = 1,414,700,156.25/25,014
  6. Step 6: Final answer
    x = 56,556.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.