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Finding the Third Proportional to 12,063 and 18,946.50

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Solution

The third proportional to 12,063 and 18,946.50 is: 29,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063 : 18,946.50 = 18,946.50 : x
  2. Step 2: Convert to fraction form
    12,063/18,946.50 = 18,946.50/x
  3. Step 3: Cross multiply
    12,063x = 18,946.50 × 18,946.50
  4. Step 4: Simplify right side
    12,063x = 358,969,862.25
  5. Step 5: Solve for x
    x = 358,969,862.25/12,063
  6. Step 6: Final answer
    x = 29,757.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.