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Finding the Third Proportional to 14,240 and 22,878

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Solution

The third proportional to 14,240 and 22,878 is: 36,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240 : 22,878 = 22,878 : x
  2. Step 2: Convert to fraction form
    14,240/22,878 = 22,878/x
  3. Step 3: Cross multiply
    14,240x = 22,878 × 22,878
  4. Step 4: Simplify right side
    14,240x = 523,402,884
  5. Step 5: Solve for x
    x = 523,402,884/14,240
  6. Step 6: Final answer
    x = 36,755.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.