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Finding the Third Proportional to 974.63 and 2,105.25

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Solution

The third proportional to 974.63 and 2,105.25 is: 4,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.63 : 2,105.25 = 2,105.25 : x
  2. Step 2: Convert to fraction form
    974.63/2,105.25 = 2,105.25/x
  3. Step 3: Cross multiply
    974.63x = 2,105.25 × 2,105.25
  4. Step 4: Simplify right side
    974.63x = 4,432,077.56
  5. Step 5: Solve for x
    x = 4,432,077.56/974.63
  6. Step 6: Final answer
    x = 4,547.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.