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Finding the Third Proportional to 23,302 and 37,064

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Solution

The third proportional to 23,302 and 37,064 is: 58,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302 : 37,064 = 37,064 : x
  2. Step 2: Convert to fraction form
    23,302/37,064 = 37,064/x
  3. Step 3: Cross multiply
    23,302x = 37,064 × 37,064
  4. Step 4: Simplify right side
    23,302x = 1,373,740,096
  5. Step 5: Solve for x
    x = 1,373,740,096/23,302
  6. Step 6: Final answer
    x = 58,953.74

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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.