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Finding the Third Proportional to 4,546.13 and 7,007.06

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Solution

The third proportional to 4,546.13 and 7,007.06 is: 10,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.13 : 7,007.06 = 7,007.06 : x
  2. Step 2: Convert to fraction form
    4,546.13/7,007.06 = 7,007.06/x
  3. Step 3: Cross multiply
    4,546.13x = 7,007.06 × 7,007.06
  4. Step 4: Simplify right side
    4,546.13x = 49,098,924.88
  5. Step 5: Solve for x
    x = 49,098,924.88/4,546.13
  6. Step 6: Final answer
    x = 10,800.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.