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Finding the Third Proportional to 3,090.66 and 7,470.35

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Solution

The third proportional to 3,090.66 and 7,470.35 is: 18,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.66 : 7,470.35 = 7,470.35 : x
  2. Step 2: Convert to fraction form
    3,090.66/7,470.35 = 7,470.35/x
  3. Step 3: Cross multiply
    3,090.66x = 7,470.35 × 7,470.35
  4. Step 4: Simplify right side
    3,090.66x = 55,806,152.47
  5. Step 5: Solve for x
    x = 55,806,152.47/3,090.66
  6. Step 6: Final answer
    x = 18,056.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.