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Finding the Third Proportional to 988.03 and 2,284.88

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Solution

The third proportional to 988.03 and 2,284.88 is: 5,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.03 : 2,284.88 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    988.03/2,284.88 = 2,284.88/x
  3. Step 3: Cross multiply
    988.03x = 2,284.88 × 2,284.88
  4. Step 4: Simplify right side
    988.03x = 5,220,653.77
  5. Step 5: Solve for x
    x = 5,220,653.77/988.03
  6. Step 6: Final answer
    x = 5,283.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.