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Finding the Third Proportional to 14,334 and 17,598

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Solution

The third proportional to 14,334 and 17,598 is: 21,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334 : 17,598 = 17,598 : x
  2. Step 2: Convert to fraction form
    14,334/17,598 = 17,598/x
  3. Step 3: Cross multiply
    14,334x = 17,598 × 17,598
  4. Step 4: Simplify right side
    14,334x = 309,689,604
  5. Step 5: Solve for x
    x = 309,689,604/14,334
  6. Step 6: Final answer
    x = 21,605.25

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.