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Finding the Third Proportional to 16,038 and 22,896

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Solution

The third proportional to 16,038 and 22,896 is: 32,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 22,896 = 22,896 : x
  2. Step 2: Convert to fraction form
    16,038/22,896 = 22,896/x
  3. Step 3: Cross multiply
    16,038x = 22,896 × 22,896
  4. Step 4: Simplify right side
    16,038x = 524,226,816
  5. Step 5: Solve for x
    x = 524,226,816/16,038
  6. Step 6: Final answer
    x = 32,686.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.