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Finding the Third Proportional to 53,225.50 and 74,005

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Solution

The third proportional to 53,225.50 and 74,005 is: 102,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,225.50 : 74,005 = 74,005 : x
  2. Step 2: Convert to fraction form
    53,225.50/74,005 = 74,005/x
  3. Step 3: Cross multiply
    53,225.50x = 74,005 × 74,005
  4. Step 4: Simplify right side
    53,225.50x = 5,476,740,025
  5. Step 5: Solve for x
    x = 5,476,740,025/53,225.50
  6. Step 6: Final answer
    x = 102,896.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.