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Finding the Third Proportional to 7,407 and 10,701

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Solution

The third proportional to 7,407 and 10,701 is: 15,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 10,701 = 10,701 : x
  2. Step 2: Convert to fraction form
    7,407/10,701 = 10,701/x
  3. Step 3: Cross multiply
    7,407x = 10,701 × 10,701
  4. Step 4: Simplify right side
    7,407x = 114,511,401
  5. Step 5: Solve for x
    x = 114,511,401/7,407
  6. Step 6: Final answer
    x = 15,459.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.