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Finding the Third Proportional to 23,760 and 37,621.13

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Solution

The third proportional to 23,760 and 37,621.13 is: 59,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760 : 37,621.13 = 37,621.13 : x
  2. Step 2: Convert to fraction form
    23,760/37,621.13 = 37,621.13/x
  3. Step 3: Cross multiply
    23,760x = 37,621.13 × 37,621.13
  4. Step 4: Simplify right side
    23,760x = 1,415,349,046.27
  5. Step 5: Solve for x
    x = 1,415,349,046.27/23,760
  6. Step 6: Final answer
    x = 59,568.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.