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Finding the Third Proportional to 3,052.69 and 4,670.16

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Solution

The third proportional to 3,052.69 and 4,670.16 is: 7,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 4,670.16 = 4,670.16 : x
  2. Step 2: Convert to fraction form
    3,052.69/4,670.16 = 4,670.16/x
  3. Step 3: Cross multiply
    3,052.69x = 4,670.16 × 4,670.16
  4. Step 4: Simplify right side
    3,052.69x = 21,810,359.40
  5. Step 5: Solve for x
    x = 21,810,359.40/3,052.69
  6. Step 6: Final answer
    x = 7,144.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.