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Finding the Third Proportional to 13,686 and 24,690

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Solution

The third proportional to 13,686 and 24,690 is: 44,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 24,690 = 24,690 : x
  2. Step 2: Convert to fraction form
    13,686/24,690 = 24,690/x
  3. Step 3: Cross multiply
    13,686x = 24,690 × 24,690
  4. Step 4: Simplify right side
    13,686x = 609,596,100
  5. Step 5: Solve for x
    x = 609,596,100/13,686
  6. Step 6: Final answer
    x = 44,541.58

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.