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Finding the Third Proportional to 30,851.25 and 46,195.50

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Solution

The third proportional to 30,851.25 and 46,195.50 is: 69,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.25 : 46,195.50 = 46,195.50 : x
  2. Step 2: Convert to fraction form
    30,851.25/46,195.50 = 46,195.50/x
  3. Step 3: Cross multiply
    30,851.25x = 46,195.50 × 46,195.50
  4. Step 4: Simplify right side
    30,851.25x = 2,134,024,220.25
  5. Step 5: Solve for x
    x = 2,134,024,220.25/30,851.25
  6. Step 6: Final answer
    x = 69,171.40

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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.