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Finding the Third Proportional to 11,700 and 17,554

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Solution

The third proportional to 11,700 and 17,554 is: 26,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700 : 17,554 = 17,554 : x
  2. Step 2: Convert to fraction form
    11,700/17,554 = 17,554/x
  3. Step 3: Cross multiply
    11,700x = 17,554 × 17,554
  4. Step 4: Simplify right side
    11,700x = 308,142,916
  5. Step 5: Solve for x
    x = 308,142,916/11,700
  6. Step 6: Final answer
    x = 26,337.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.