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Finding the Third Proportional to 23,400.56 and 37,211.06

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Solution

The third proportional to 23,400.56 and 37,211.06 is: 59,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400.56 : 37,211.06 = 37,211.06 : x
  2. Step 2: Convert to fraction form
    23,400.56/37,211.06 = 37,211.06/x
  3. Step 3: Cross multiply
    23,400.56x = 37,211.06 × 37,211.06
  4. Step 4: Simplify right side
    23,400.56x = 1,384,663,172.38
  5. Step 5: Solve for x
    x = 1,384,663,172.38/23,400.56
  6. Step 6: Final answer
    x = 59,172.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.