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Finding the Third Proportional to 14,434 and 19,483

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Solution

The third proportional to 14,434 and 19,483 is: 26,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434 : 19,483 = 19,483 : x
  2. Step 2: Convert to fraction form
    14,434/19,483 = 19,483/x
  3. Step 3: Cross multiply
    14,434x = 19,483 × 19,483
  4. Step 4: Simplify right side
    14,434x = 379,587,289
  5. Step 5: Solve for x
    x = 379,587,289/14,434
  6. Step 6: Final answer
    x = 26,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.