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Finding the Third Proportional to 12,014 and 25,315

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Solution

The third proportional to 12,014 and 25,315 is: 53,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014 : 25,315 = 25,315 : x
  2. Step 2: Convert to fraction form
    12,014/25,315 = 25,315/x
  3. Step 3: Cross multiply
    12,014x = 25,315 × 25,315
  4. Step 4: Simplify right side
    12,014x = 640,849,225
  5. Step 5: Solve for x
    x = 640,849,225/12,014
  6. Step 6: Final answer
    x = 53,341.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.