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Finding the Third Proportional to 16,355 and 22,071

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Solution

The third proportional to 16,355 and 22,071 is: 29,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355 : 22,071 = 22,071 : x
  2. Step 2: Convert to fraction form
    16,355/22,071 = 22,071/x
  3. Step 3: Cross multiply
    16,355x = 22,071 × 22,071
  4. Step 4: Simplify right side
    16,355x = 487,129,041
  5. Step 5: Solve for x
    x = 487,129,041/16,355
  6. Step 6: Final answer
    x = 29,784.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.