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Finding the Third Proportional to 21,034.69 and 30,002.91

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Solution

The third proportional to 21,034.69 and 30,002.91 is: 42,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.69 : 30,002.91 = 30,002.91 : x
  2. Step 2: Convert to fraction form
    21,034.69/30,002.91 = 30,002.91/x
  3. Step 3: Cross multiply
    21,034.69x = 30,002.91 × 30,002.91
  4. Step 4: Simplify right side
    21,034.69x = 900,174,383.45
  5. Step 5: Solve for x
    x = 900,174,383.45/21,034.69
  6. Step 6: Final answer
    x = 42,794.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.