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Finding the Third Proportional to 34,443 and 73,020

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Solution

The third proportional to 34,443 and 73,020 is: 154,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443 : 73,020 = 73,020 : x
  2. Step 2: Convert to fraction form
    34,443/73,020 = 73,020/x
  3. Step 3: Cross multiply
    34,443x = 73,020 × 73,020
  4. Step 4: Simplify right side
    34,443x = 5,331,920,400
  5. Step 5: Solve for x
    x = 5,331,920,400/34,443
  6. Step 6: Final answer
    x = 154,804.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.