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Finding the Third Proportional to 11,551.36 and 16,506.91

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Solution

The third proportional to 11,551.36 and 16,506.91 is: 23,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.36 : 16,506.91 = 16,506.91 : x
  2. Step 2: Convert to fraction form
    11,551.36/16,506.91 = 16,506.91/x
  3. Step 3: Cross multiply
    11,551.36x = 16,506.91 × 16,506.91
  4. Step 4: Simplify right side
    11,551.36x = 272,478,211.87
  5. Step 5: Solve for x
    x = 272,478,211.87/11,551.36
  6. Step 6: Final answer
    x = 23,588.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.