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Finding the Third Proportional to 12,064 and 19,252

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Solution

The third proportional to 12,064 and 19,252 is: 30,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064 : 19,252 = 19,252 : x
  2. Step 2: Convert to fraction form
    12,064/19,252 = 19,252/x
  3. Step 3: Cross multiply
    12,064x = 19,252 × 19,252
  4. Step 4: Simplify right side
    12,064x = 370,639,504
  5. Step 5: Solve for x
    x = 370,639,504/12,064
  6. Step 6: Final answer
    x = 30,722.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.