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Finding the Third Proportional to 14,158 and 30,777

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Solution

The third proportional to 14,158 and 30,777 is: 66,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158 : 30,777 = 30,777 : x
  2. Step 2: Convert to fraction form
    14,158/30,777 = 30,777/x
  3. Step 3: Cross multiply
    14,158x = 30,777 × 30,777
  4. Step 4: Simplify right side
    14,158x = 947,223,729
  5. Step 5: Solve for x
    x = 947,223,729/14,158
  6. Step 6: Final answer
    x = 66,903.78

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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.