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Finding the Third Proportional to 16,173 and 21,736.13

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Solution

The third proportional to 16,173 and 21,736.13 is: 29,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173 : 21,736.13 = 21,736.13 : x
  2. Step 2: Convert to fraction form
    16,173/21,736.13 = 21,736.13/x
  3. Step 3: Cross multiply
    16,173x = 21,736.13 × 21,736.13
  4. Step 4: Simplify right side
    16,173x = 472,459,130.02
  5. Step 5: Solve for x
    x = 472,459,130.02/16,173
  6. Step 6: Final answer
    x = 29,212.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.