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Finding the Third Proportional to 46,647 and 66,028.50

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Solution

The third proportional to 46,647 and 66,028.50 is: 93,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647 : 66,028.50 = 66,028.50 : x
  2. Step 2: Convert to fraction form
    46,647/66,028.50 = 66,028.50/x
  3. Step 3: Cross multiply
    46,647x = 66,028.50 × 66,028.50
  4. Step 4: Simplify right side
    46,647x = 4,359,762,812.25
  5. Step 5: Solve for x
    x = 4,359,762,812.25/46,647
  6. Step 6: Final answer
    x = 93,462.88

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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.