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Finding the Third Proportional to 25,106 and 33,315

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Solution

The third proportional to 25,106 and 33,315 is: 44,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106 : 33,315 = 33,315 : x
  2. Step 2: Convert to fraction form
    25,106/33,315 = 33,315/x
  3. Step 3: Cross multiply
    25,106x = 33,315 × 33,315
  4. Step 4: Simplify right side
    25,106x = 1,109,889,225
  5. Step 5: Solve for x
    x = 1,109,889,225/25,106
  6. Step 6: Final answer
    x = 44,208.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.