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Finding the Third Proportional to 30,735.50 and 46,385.50

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Solution

The third proportional to 30,735.50 and 46,385.50 is: 70,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.50 : 46,385.50 = 46,385.50 : x
  2. Step 2: Convert to fraction form
    30,735.50/46,385.50 = 46,385.50/x
  3. Step 3: Cross multiply
    30,735.50x = 46,385.50 × 46,385.50
  4. Step 4: Simplify right side
    30,735.50x = 2,151,614,610.25
  5. Step 5: Solve for x
    x = 2,151,614,610.25/30,735.50
  6. Step 6: Final answer
    x = 70,004.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.