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Finding the Third Proportional to 10,989 and 16,844.63

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Solution

The third proportional to 10,989 and 16,844.63 is: 25,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 16,844.63 = 16,844.63 : x
  2. Step 2: Convert to fraction form
    10,989/16,844.63 = 16,844.63/x
  3. Step 3: Cross multiply
    10,989x = 16,844.63 × 16,844.63
  4. Step 4: Simplify right side
    10,989x = 283,741,391.39
  5. Step 5: Solve for x
    x = 283,741,391.39/10,989
  6. Step 6: Final answer
    x = 25,820.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.