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Finding the Third Proportional to 46,469.50 and 72,056.50

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Solution

The third proportional to 46,469.50 and 72,056.50 is: 111,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.50 : 72,056.50 = 72,056.50 : x
  2. Step 2: Convert to fraction form
    46,469.50/72,056.50 = 72,056.50/x
  3. Step 3: Cross multiply
    46,469.50x = 72,056.50 × 72,056.50
  4. Step 4: Simplify right side
    46,469.50x = 5,192,139,192.25
  5. Step 5: Solve for x
    x = 5,192,139,192.25/46,469.50
  6. Step 6: Final answer
    x = 111,732.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.