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Finding the Third Proportional to 3,001.50 and 4,974.19

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Solution

The third proportional to 3,001.50 and 4,974.19 is: 8,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.50 : 4,974.19 = 4,974.19 : x
  2. Step 2: Convert to fraction form
    3,001.50/4,974.19 = 4,974.19/x
  3. Step 3: Cross multiply
    3,001.50x = 4,974.19 × 4,974.19
  4. Step 4: Simplify right side
    3,001.50x = 24,742,541.29
  5. Step 5: Solve for x
    x = 24,742,541.29/3,001.50
  6. Step 6: Final answer
    x = 8,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.