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Finding the Third Proportional to 913.69 and 1,336.25

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Solution

The third proportional to 913.69 and 1,336.25 is: 1,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.69 : 1,336.25 = 1,336.25 : x
  2. Step 2: Convert to fraction form
    913.69/1,336.25 = 1,336.25/x
  3. Step 3: Cross multiply
    913.69x = 1,336.25 × 1,336.25
  4. Step 4: Simplify right side
    913.69x = 1,785,564.06
  5. Step 5: Solve for x
    x = 1,785,564.06/913.69
  6. Step 6: Final answer
    x = 1,954.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.