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Finding the Third Proportional to 14,289.75 and 31,384.13

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Solution

The third proportional to 14,289.75 and 31,384.13 is: 68,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.75 : 31,384.13 = 31,384.13 : x
  2. Step 2: Convert to fraction form
    14,289.75/31,384.13 = 31,384.13/x
  3. Step 3: Cross multiply
    14,289.75x = 31,384.13 × 31,384.13
  4. Step 4: Simplify right side
    14,289.75x = 984,963,302.02
  5. Step 5: Solve for x
    x = 984,963,302.02/14,289.75
  6. Step 6: Final answer
    x = 68,927.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.