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Finding the Third Proportional to 1,913.36 and 2,955.33

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Solution

The third proportional to 1,913.36 and 2,955.33 is: 4,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.36 : 2,955.33 = 2,955.33 : x
  2. Step 2: Convert to fraction form
    1,913.36/2,955.33 = 2,955.33/x
  3. Step 3: Cross multiply
    1,913.36x = 2,955.33 × 2,955.33
  4. Step 4: Simplify right side
    1,913.36x = 8,733,994.63
  5. Step 5: Solve for x
    x = 8,733,994.63/1,913.36
  6. Step 6: Final answer
    x = 4,564.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.