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Finding the Third Proportional to 3,506.06 and 7,740.84

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Solution

The third proportional to 3,506.06 and 7,740.84 is: 17,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.06 : 7,740.84 = 7,740.84 : x
  2. Step 2: Convert to fraction form
    3,506.06/7,740.84 = 7,740.84/x
  3. Step 3: Cross multiply
    3,506.06x = 7,740.84 × 7,740.84
  4. Step 4: Simplify right side
    3,506.06x = 59,920,661.96
  5. Step 5: Solve for x
    x = 59,920,661.96/3,506.06
  6. Step 6: Final answer
    x = 17,090.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.