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Finding the Third Proportional to 19,536 and 28,939

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Solution

The third proportional to 19,536 and 28,939 is: 42,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 28,939 = 28,939 : x
  2. Step 2: Convert to fraction form
    19,536/28,939 = 28,939/x
  3. Step 3: Cross multiply
    19,536x = 28,939 × 28,939
  4. Step 4: Simplify right side
    19,536x = 837,465,721
  5. Step 5: Solve for x
    x = 837,465,721/19,536
  6. Step 6: Final answer
    x = 42,867.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.