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Finding the Third Proportional to 19,233 and 28,849.50

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Solution

The third proportional to 19,233 and 28,849.50 is: 43,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233 : 28,849.50 = 28,849.50 : x
  2. Step 2: Convert to fraction form
    19,233/28,849.50 = 28,849.50/x
  3. Step 3: Cross multiply
    19,233x = 28,849.50 × 28,849.50
  4. Step 4: Simplify right side
    19,233x = 832,293,650.25
  5. Step 5: Solve for x
    x = 832,293,650.25/19,233
  6. Step 6: Final answer
    x = 43,274.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.