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Finding the Third Proportional to 46,000.50 and 65,089.50

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Solution

The third proportional to 46,000.50 and 65,089.50 is: 92,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,000.50 : 65,089.50 = 65,089.50 : x
  2. Step 2: Convert to fraction form
    46,000.50/65,089.50 = 65,089.50/x
  3. Step 3: Cross multiply
    46,000.50x = 65,089.50 × 65,089.50
  4. Step 4: Simplify right side
    46,000.50x = 4,236,643,010.25
  5. Step 5: Solve for x
    x = 4,236,643,010.25/46,000.50
  6. Step 6: Final answer
    x = 92,099.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.