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Finding the Third Proportional to 11,598 and 17,953

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Solution

The third proportional to 11,598 and 17,953 is: 27,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598 : 17,953 = 17,953 : x
  2. Step 2: Convert to fraction form
    11,598/17,953 = 17,953/x
  3. Step 3: Cross multiply
    11,598x = 17,953 × 17,953
  4. Step 4: Simplify right side
    11,598x = 322,310,209
  5. Step 5: Solve for x
    x = 322,310,209/11,598
  6. Step 6: Final answer
    x = 27,790.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.