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Finding the Third Proportional to 980.63 and 2,097.94

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Solution

The third proportional to 980.63 and 2,097.94 is: 4,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.63 : 2,097.94 = 2,097.94 : x
  2. Step 2: Convert to fraction form
    980.63/2,097.94 = 2,097.94/x
  3. Step 3: Cross multiply
    980.63x = 2,097.94 × 2,097.94
  4. Step 4: Simplify right side
    980.63x = 4,401,341.75
  5. Step 5: Solve for x
    x = 4,401,341.75/980.63
  6. Step 6: Final answer
    x = 4,488.30

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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.