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Finding the Third Proportional to 14,489 and 23,029

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Solution

The third proportional to 14,489 and 23,029 is: 36,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489 : 23,029 = 23,029 : x
  2. Step 2: Convert to fraction form
    14,489/23,029 = 23,029/x
  3. Step 3: Cross multiply
    14,489x = 23,029 × 23,029
  4. Step 4: Simplify right side
    14,489x = 530,334,841
  5. Step 5: Solve for x
    x = 530,334,841/14,489
  6. Step 6: Final answer
    x = 36,602.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.