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Finding the Third Proportional to 4,796 and 7,498

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Solution

The third proportional to 4,796 and 7,498 is: 11,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796 : 7,498 = 7,498 : x
  2. Step 2: Convert to fraction form
    4,796/7,498 = 7,498/x
  3. Step 3: Cross multiply
    4,796x = 7,498 × 7,498
  4. Step 4: Simplify right side
    4,796x = 56,220,004
  5. Step 5: Solve for x
    x = 56,220,004/4,796
  6. Step 6: Final answer
    x = 11,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.