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Finding the Third Proportional to 14,040 and 30,719

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Solution

The third proportional to 14,040 and 30,719 is: 67,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040 : 30,719 = 30,719 : x
  2. Step 2: Convert to fraction form
    14,040/30,719 = 30,719/x
  3. Step 3: Cross multiply
    14,040x = 30,719 × 30,719
  4. Step 4: Simplify right side
    14,040x = 943,656,961
  5. Step 5: Solve for x
    x = 943,656,961/14,040
  6. Step 6: Final answer
    x = 67,212.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.