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Finding the Third Proportional to 10,963.50 and 17,007

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Solution

The third proportional to 10,963.50 and 17,007 is: 26,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.50 : 17,007 = 17,007 : x
  2. Step 2: Convert to fraction form
    10,963.50/17,007 = 17,007/x
  3. Step 3: Cross multiply
    10,963.50x = 17,007 × 17,007
  4. Step 4: Simplify right side
    10,963.50x = 289,238,049
  5. Step 5: Solve for x
    x = 289,238,049/10,963.50
  6. Step 6: Final answer
    x = 26,381.91

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