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Finding the Third Proportional to 3,533.63 and 5,308.45

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Solution

The third proportional to 3,533.63 and 5,308.45 is: 7,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.63 : 5,308.45 = 5,308.45 : x
  2. Step 2: Convert to fraction form
    3,533.63/5,308.45 = 5,308.45/x
  3. Step 3: Cross multiply
    3,533.63x = 5,308.45 × 5,308.45
  4. Step 4: Simplify right side
    3,533.63x = 28,179,674.58
  5. Step 5: Solve for x
    x = 28,179,674.58/3,533.63
  6. Step 6: Final answer
    x = 7,974.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.