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Finding the Third Proportional to 983.44 and 2,128.88

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Solution

The third proportional to 983.44 and 2,128.88 is: 4,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.44 : 2,128.88 = 2,128.88 : x
  2. Step 2: Convert to fraction form
    983.44/2,128.88 = 2,128.88/x
  3. Step 3: Cross multiply
    983.44x = 2,128.88 × 2,128.88
  4. Step 4: Simplify right side
    983.44x = 4,532,108.77
  5. Step 5: Solve for x
    x = 4,532,108.77/983.44
  6. Step 6: Final answer
    x = 4,608.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.