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Finding the Third Proportional to 19,263 and 27,046.50

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Solution

The third proportional to 19,263 and 27,046.50 is: 37,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,263 : 27,046.50 = 27,046.50 : x
  2. Step 2: Convert to fraction form
    19,263/27,046.50 = 27,046.50/x
  3. Step 3: Cross multiply
    19,263x = 27,046.50 × 27,046.50
  4. Step 4: Simplify right side
    19,263x = 731,513,162.25
  5. Step 5: Solve for x
    x = 731,513,162.25/19,263
  6. Step 6: Final answer
    x = 37,975.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.