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Finding the Third Proportional to 14,634.11 and 23,014.76

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Solution

The third proportional to 14,634.11 and 23,014.76 is: 36,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.11 : 23,014.76 = 23,014.76 : x
  2. Step 2: Convert to fraction form
    14,634.11/23,014.76 = 23,014.76/x
  3. Step 3: Cross multiply
    14,634.11x = 23,014.76 × 23,014.76
  4. Step 4: Simplify right side
    14,634.11x = 529,679,077.17
  5. Step 5: Solve for x
    x = 529,679,077.17/14,634.11
  6. Step 6: Final answer
    x = 36,194.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.