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Finding the Third Proportional to 3,798.54 and 6,009.98

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Solution

The third proportional to 3,798.54 and 6,009.98 is: 9,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.54 : 6,009.98 = 6,009.98 : x
  2. Step 2: Convert to fraction form
    3,798.54/6,009.98 = 6,009.98/x
  3. Step 3: Cross multiply
    3,798.54x = 6,009.98 × 6,009.98
  4. Step 4: Simplify right side
    3,798.54x = 36,119,841.76
  5. Step 5: Solve for x
    x = 36,119,841.76/3,798.54
  6. Step 6: Final answer
    x = 9,508.88

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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.