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Finding the Third Proportional to 975.90 and 2,093.03

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Solution

The third proportional to 975.90 and 2,093.03 is: 4,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.90 : 2,093.03 = 2,093.03 : x
  2. Step 2: Convert to fraction form
    975.90/2,093.03 = 2,093.03/x
  3. Step 3: Cross multiply
    975.90x = 2,093.03 × 2,093.03
  4. Step 4: Simplify right side
    975.90x = 4,380,763.46
  5. Step 5: Solve for x
    x = 4,380,763.46/975.90
  6. Step 6: Final answer
    x = 4,488.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.