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Finding the Third Proportional to 2,919.59 and 4,533.26

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Solution

The third proportional to 2,919.59 and 4,533.26 is: 7,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.59 : 4,533.26 = 4,533.26 : x
  2. Step 2: Convert to fraction form
    2,919.59/4,533.26 = 4,533.26/x
  3. Step 3: Cross multiply
    2,919.59x = 4,533.26 × 4,533.26
  4. Step 4: Simplify right side
    2,919.59x = 20,550,426.39
  5. Step 5: Solve for x
    x = 20,550,426.39/2,919.59
  6. Step 6: Final answer
    x = 7,038.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.