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Finding the Third Proportional to 46,017 and 69,023.25

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Solution

The third proportional to 46,017 and 69,023.25 is: 103,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,017 : 69,023.25 = 69,023.25 : x
  2. Step 2: Convert to fraction form
    46,017/69,023.25 = 69,023.25/x
  3. Step 3: Cross multiply
    46,017x = 69,023.25 × 69,023.25
  4. Step 4: Simplify right side
    46,017x = 4,764,209,040.56
  5. Step 5: Solve for x
    x = 4,764,209,040.56/46,017
  6. Step 6: Final answer
    x = 103,531.50

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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.