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Finding the Third Proportional to 53,007 and 74,296.50

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Solution

The third proportional to 53,007 and 74,296.50 is: 104,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,007 : 74,296.50 = 74,296.50 : x
  2. Step 2: Convert to fraction form
    53,007/74,296.50 = 74,296.50/x
  3. Step 3: Cross multiply
    53,007x = 74,296.50 × 74,296.50
  4. Step 4: Simplify right side
    53,007x = 5,519,969,912.25
  5. Step 5: Solve for x
    x = 5,519,969,912.25/53,007
  6. Step 6: Final answer
    x = 104,136.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.