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Finding the Third Proportional to 7,497 and 10,179

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Solution

The third proportional to 7,497 and 10,179 is: 13,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 10,179 = 10,179 : x
  2. Step 2: Convert to fraction form
    7,497/10,179 = 10,179/x
  3. Step 3: Cross multiply
    7,497x = 10,179 × 10,179
  4. Step 4: Simplify right side
    7,497x = 103,612,041
  5. Step 5: Solve for x
    x = 103,612,041/7,497
  6. Step 6: Final answer
    x = 13,820.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.