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Finding the Third Proportional to 7,145 and 15,675

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Solution

The third proportional to 7,145 and 15,675 is: 34,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145 : 15,675 = 15,675 : x
  2. Step 2: Convert to fraction form
    7,145/15,675 = 15,675/x
  3. Step 3: Cross multiply
    7,145x = 15,675 × 15,675
  4. Step 4: Simplify right side
    7,145x = 245,705,625
  5. Step 5: Solve for x
    x = 245,705,625/7,145
  6. Step 6: Final answer
    x = 34,388.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.