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Finding the Third Proportional to 14,069.63 and 30,022.13

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Solution

The third proportional to 14,069.63 and 30,022.13 is: 64,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.63 : 30,022.13 = 30,022.13 : x
  2. Step 2: Convert to fraction form
    14,069.63/30,022.13 = 30,022.13/x
  3. Step 3: Cross multiply
    14,069.63x = 30,022.13 × 30,022.13
  4. Step 4: Simplify right side
    14,069.63x = 901,327,989.52
  5. Step 5: Solve for x
    x = 901,327,989.52/14,069.63
  6. Step 6: Final answer
    x = 64,061.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.