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Finding the Third Proportional to 14,028.19 and 30,002.06

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Solution

The third proportional to 14,028.19 and 30,002.06 is: 64,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.19 : 30,002.06 = 30,002.06 : x
  2. Step 2: Convert to fraction form
    14,028.19/30,002.06 = 30,002.06/x
  3. Step 3: Cross multiply
    14,028.19x = 30,002.06 × 30,002.06
  4. Step 4: Simplify right side
    14,028.19x = 900,123,754.25
  5. Step 5: Solve for x
    x = 900,123,754.25/14,028.19
  6. Step 6: Final answer
    x = 64,165.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.