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Finding the Third Proportional to 14,469.19 and 30,715.88

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Solution

The third proportional to 14,469.19 and 30,715.88 is: 65,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.19 : 30,715.88 = 30,715.88 : x
  2. Step 2: Convert to fraction form
    14,469.19/30,715.88 = 30,715.88/x
  3. Step 3: Cross multiply
    14,469.19x = 30,715.88 × 30,715.88
  4. Step 4: Simplify right side
    14,469.19x = 943,464,977.02
  5. Step 5: Solve for x
    x = 943,464,977.02/14,469.19
  6. Step 6: Final answer
    x = 65,205.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.