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Finding the Third Proportional to 14,340 and 30,877

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Solution

The third proportional to 14,340 and 30,877 is: 66,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 30,877 = 30,877 : x
  2. Step 2: Convert to fraction form
    14,340/30,877 = 30,877/x
  3. Step 3: Cross multiply
    14,340x = 30,877 × 30,877
  4. Step 4: Simplify right side
    14,340x = 953,389,129
  5. Step 5: Solve for x
    x = 953,389,129/14,340
  6. Step 6: Final answer
    x = 66,484.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.