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Finding the Third Proportional to 19,359 and 28,963

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Solution

The third proportional to 19,359 and 28,963 is: 43,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359 : 28,963 = 28,963 : x
  2. Step 2: Convert to fraction form
    19,359/28,963 = 28,963/x
  3. Step 3: Cross multiply
    19,359x = 28,963 × 28,963
  4. Step 4: Simplify right side
    19,359x = 838,855,369
  5. Step 5: Solve for x
    x = 838,855,369/19,359
  6. Step 6: Final answer
    x = 43,331.54

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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.