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Finding the Third Proportional to 979.69 and 2,101.69

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Solution

The third proportional to 979.69 and 2,101.69 is: 4,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.69 : 2,101.69 = 2,101.69 : x
  2. Step 2: Convert to fraction form
    979.69/2,101.69 = 2,101.69/x
  3. Step 3: Cross multiply
    979.69x = 2,101.69 × 2,101.69
  4. Step 4: Simplify right side
    979.69x = 4,417,090.35
  5. Step 5: Solve for x
    x = 4,417,090.35/979.69
  6. Step 6: Final answer
    x = 4,508.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.