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Finding the Third Proportional to 979.59 and 2,055.38

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Solution

The third proportional to 979.59 and 2,055.38 is: 4,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.59 : 2,055.38 = 2,055.38 : x
  2. Step 2: Convert to fraction form
    979.59/2,055.38 = 2,055.38/x
  3. Step 3: Cross multiply
    979.59x = 2,055.38 × 2,055.38
  4. Step 4: Simplify right side
    979.59x = 4,224,566.39
  5. Step 5: Solve for x
    x = 4,224,566.39/979.59
  6. Step 6: Final answer
    x = 4,312.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.