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Finding the Third Proportional to 14,602 and 33,103

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Solution

The third proportional to 14,602 and 33,103 is: 75,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602 : 33,103 = 33,103 : x
  2. Step 2: Convert to fraction form
    14,602/33,103 = 33,103/x
  3. Step 3: Cross multiply
    14,602x = 33,103 × 33,103
  4. Step 4: Simplify right side
    14,602x = 1,095,808,609
  5. Step 5: Solve for x
    x = 1,095,808,609/14,602
  6. Step 6: Final answer
    x = 75,045.10

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.