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Finding the Third Proportional to 19,767 and 28,911

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Solution

The third proportional to 19,767 and 28,911 is: 42,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767 : 28,911 = 28,911 : x
  2. Step 2: Convert to fraction form
    19,767/28,911 = 28,911/x
  3. Step 3: Cross multiply
    19,767x = 28,911 × 28,911
  4. Step 4: Simplify right side
    19,767x = 835,845,921
  5. Step 5: Solve for x
    x = 835,845,921/19,767
  6. Step 6: Final answer
    x = 42,284.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.