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Finding the Third Proportional to 14,008.50 and 30,371

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Solution

The third proportional to 14,008.50 and 30,371 is: 65,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.50 : 30,371 = 30,371 : x
  2. Step 2: Convert to fraction form
    14,008.50/30,371 = 30,371/x
  3. Step 3: Cross multiply
    14,008.50x = 30,371 × 30,371
  4. Step 4: Simplify right side
    14,008.50x = 922,397,641
  5. Step 5: Solve for x
    x = 922,397,641/14,008.50
  6. Step 6: Final answer
    x = 65,845.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.