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Finding the Third Proportional to 16,809 and 24,425.25

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Solution

The third proportional to 16,809 and 24,425.25 is: 35,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809 : 24,425.25 = 24,425.25 : x
  2. Step 2: Convert to fraction form
    16,809/24,425.25 = 24,425.25/x
  3. Step 3: Cross multiply
    16,809x = 24,425.25 × 24,425.25
  4. Step 4: Simplify right side
    16,809x = 596,592,837.56
  5. Step 5: Solve for x
    x = 596,592,837.56/16,809
  6. Step 6: Final answer
    x = 35,492.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.