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Finding the Third Proportional to 12,972 and 17,594

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Solution

The third proportional to 12,972 and 17,594 is: 23,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972 : 17,594 = 17,594 : x
  2. Step 2: Convert to fraction form
    12,972/17,594 = 17,594/x
  3. Step 3: Cross multiply
    12,972x = 17,594 × 17,594
  4. Step 4: Simplify right side
    12,972x = 309,548,836
  5. Step 5: Solve for x
    x = 309,548,836/12,972
  6. Step 6: Final answer
    x = 23,862.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.