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Finding the Third Proportional to 31,214.25 and 46,804.50

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Solution

The third proportional to 31,214.25 and 46,804.50 is: 70,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.25 : 46,804.50 = 46,804.50 : x
  2. Step 2: Convert to fraction form
    31,214.25/46,804.50 = 46,804.50/x
  3. Step 3: Cross multiply
    31,214.25x = 46,804.50 × 46,804.50
  4. Step 4: Simplify right side
    31,214.25x = 2,190,661,220.25
  5. Step 5: Solve for x
    x = 2,190,661,220.25/31,214.25
  6. Step 6: Final answer
    x = 70,181.45

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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.