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Finding the Third Proportional to 11,683.13 and 17,521.13

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Solution

The third proportional to 11,683.13 and 17,521.13 is: 26,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.13 : 17,521.13 = 17,521.13 : x
  2. Step 2: Convert to fraction form
    11,683.13/17,521.13 = 17,521.13/x
  3. Step 3: Cross multiply
    11,683.13x = 17,521.13 × 17,521.13
  4. Step 4: Simplify right side
    11,683.13x = 306,989,821.27
  5. Step 5: Solve for x
    x = 306,989,821.27/11,683.13
  6. Step 6: Final answer
    x = 26,276.34

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Why These Related Problems?

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