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Finding the Third Proportional to 7,900.69 and 18,244.13

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Solution

The third proportional to 7,900.69 and 18,244.13 is: 42,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.69 : 18,244.13 = 18,244.13 : x
  2. Step 2: Convert to fraction form
    7,900.69/18,244.13 = 18,244.13/x
  3. Step 3: Cross multiply
    7,900.69x = 18,244.13 × 18,244.13
  4. Step 4: Simplify right side
    7,900.69x = 332,848,097.02
  5. Step 5: Solve for x
    x = 332,848,097.02/7,900.69
  6. Step 6: Final answer
    x = 42,129.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.