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Finding the Third Proportional to 25,614 and 40,185

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Solution

The third proportional to 25,614 and 40,185 is: 63,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614 : 40,185 = 40,185 : x
  2. Step 2: Convert to fraction form
    25,614/40,185 = 40,185/x
  3. Step 3: Cross multiply
    25,614x = 40,185 × 40,185
  4. Step 4: Simplify right side
    25,614x = 1,614,834,225
  5. Step 5: Solve for x
    x = 1,614,834,225/25,614
  6. Step 6: Final answer
    x = 63,044.98

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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.