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Finding the Third Proportional to 11,880.75 and 18,686.63

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Solution

The third proportional to 11,880.75 and 18,686.63 is: 29,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.75 : 18,686.63 = 18,686.63 : x
  2. Step 2: Convert to fraction form
    11,880.75/18,686.63 = 18,686.63/x
  3. Step 3: Cross multiply
    11,880.75x = 18,686.63 × 18,686.63
  4. Step 4: Simplify right side
    11,880.75x = 349,189,953.89
  5. Step 5: Solve for x
    x = 349,189,953.89/11,880.75
  6. Step 6: Final answer
    x = 29,391.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.