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Finding the Third Proportional to 66,483 and 94,682.25

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Solution

The third proportional to 66,483 and 94,682.25 is: 134,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,483 : 94,682.25 = 94,682.25 : x
  2. Step 2: Convert to fraction form
    66,483/94,682.25 = 94,682.25/x
  3. Step 3: Cross multiply
    66,483x = 94,682.25 × 94,682.25
  4. Step 4: Simplify right side
    66,483x = 8,964,728,465.06
  5. Step 5: Solve for x
    x = 8,964,728,465.06/66,483
  6. Step 6: Final answer
    x = 134,842.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.