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Finding the Third Proportional to 46,341 and 71,815.50

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Solution

The third proportional to 46,341 and 71,815.50 is: 111,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,341 : 71,815.50 = 71,815.50 : x
  2. Step 2: Convert to fraction form
    46,341/71,815.50 = 71,815.50/x
  3. Step 3: Cross multiply
    46,341x = 71,815.50 × 71,815.50
  4. Step 4: Simplify right side
    46,341x = 5,157,466,040.25
  5. Step 5: Solve for x
    x = 5,157,466,040.25/46,341
  6. Step 6: Final answer
    x = 111,293.80

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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.