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Finding the Third Proportional to 4,649.06 and 7,338.94

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Solution

The third proportional to 4,649.06 and 7,338.94 is: 11,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.06 : 7,338.94 = 7,338.94 : x
  2. Step 2: Convert to fraction form
    4,649.06/7,338.94 = 7,338.94/x
  3. Step 3: Cross multiply
    4,649.06x = 7,338.94 × 7,338.94
  4. Step 4: Simplify right side
    4,649.06x = 53,860,003.63
  5. Step 5: Solve for x
    x = 53,860,003.63/4,649.06
  6. Step 6: Final answer
    x = 11,585.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.