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Finding the Third Proportional to 898.70 and 1,955.60

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Solution

The third proportional to 898.70 and 1,955.60 is: 4,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.70 : 1,955.60 = 1,955.60 : x
  2. Step 2: Convert to fraction form
    898.70/1,955.60 = 1,955.60/x
  3. Step 3: Cross multiply
    898.70x = 1,955.60 × 1,955.60
  4. Step 4: Simplify right side
    898.70x = 3,824,377.47
  5. Step 5: Solve for x
    x = 3,824,377.47/898.70
  6. Step 6: Final answer
    x = 4,255.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.