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Finding the Third Proportional to 10,598 and 19,612

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Solution

The third proportional to 10,598 and 19,612 is: 36,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598 : 19,612 = 19,612 : x
  2. Step 2: Convert to fraction form
    10,598/19,612 = 19,612/x
  3. Step 3: Cross multiply
    10,598x = 19,612 × 19,612
  4. Step 4: Simplify right side
    10,598x = 384,630,544
  5. Step 5: Solve for x
    x = 384,630,544/10,598
  6. Step 6: Final answer
    x = 36,292.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.