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Finding the Third Proportional to 46,428.90 and 69,745.86

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Solution

The third proportional to 46,428.90 and 69,745.86 is: 104,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,428.90 : 69,745.86 = 69,745.86 : x
  2. Step 2: Convert to fraction form
    46,428.90/69,745.86 = 69,745.86/x
  3. Step 3: Cross multiply
    46,428.90x = 69,745.86 × 69,745.86
  4. Step 4: Simplify right side
    46,428.90x = 4,864,485,649.18
  5. Step 5: Solve for x
    x = 4,864,485,649.18/46,428.90
  6. Step 6: Final answer
    x = 104,772.80

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