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Finding the Third Proportional to 46,853.58 and 66,775.64

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Solution

The third proportional to 46,853.58 and 66,775.64 is: 95,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,853.58 : 66,775.64 = 66,775.64 : x
  2. Step 2: Convert to fraction form
    46,853.58/66,775.64 = 66,775.64/x
  3. Step 3: Cross multiply
    46,853.58x = 66,775.64 × 66,775.64
  4. Step 4: Simplify right side
    46,853.58x = 4,458,986,180.88
  5. Step 5: Solve for x
    x = 4,458,986,180.88/46,853.58
  6. Step 6: Final answer
    x = 95,168.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.