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Finding the Third Proportional to 14,152.50 and 30,286.94

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Solution

The third proportional to 14,152.50 and 30,286.94 is: 64,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.50 : 30,286.94 = 30,286.94 : x
  2. Step 2: Convert to fraction form
    14,152.50/30,286.94 = 30,286.94/x
  3. Step 3: Cross multiply
    14,152.50x = 30,286.94 × 30,286.94
  4. Step 4: Simplify right side
    14,152.50x = 917,298,583.13
  5. Step 5: Solve for x
    x = 917,298,583.13/14,152.50
  6. Step 6: Final answer
    x = 64,815.30

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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.