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Finding the Third Proportional to 17,808 and 25,312

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Solution

The third proportional to 17,808 and 25,312 is: 35,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808 : 25,312 = 25,312 : x
  2. Step 2: Convert to fraction form
    17,808/25,312 = 25,312/x
  3. Step 3: Cross multiply
    17,808x = 25,312 × 25,312
  4. Step 4: Simplify right side
    17,808x = 640,697,344
  5. Step 5: Solve for x
    x = 640,697,344/17,808
  6. Step 6: Final answer
    x = 35,978.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.