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Finding the Third Proportional to 9,614 and 14,056

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Solution

The third proportional to 9,614 and 14,056 is: 20,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 14,056 = 14,056 : x
  2. Step 2: Convert to fraction form
    9,614/14,056 = 14,056/x
  3. Step 3: Cross multiply
    9,614x = 14,056 × 14,056
  4. Step 4: Simplify right side
    9,614x = 197,571,136
  5. Step 5: Solve for x
    x = 197,571,136/9,614
  6. Step 6: Final answer
    x = 20,550.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.