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Finding the Third Proportional to 16,038 and 23,571

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Solution

The third proportional to 16,038 and 23,571 is: 34,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 23,571 = 23,571 : x
  2. Step 2: Convert to fraction form
    16,038/23,571 = 23,571/x
  3. Step 3: Cross multiply
    16,038x = 23,571 × 23,571
  4. Step 4: Simplify right side
    16,038x = 555,592,041
  5. Step 5: Solve for x
    x = 555,592,041/16,038
  6. Step 6: Final answer
    x = 34,642.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.