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Finding the Third Proportional to 30,557.25 and 46,458.56

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Solution

The third proportional to 30,557.25 and 46,458.56 is: 70,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.25 : 46,458.56 = 46,458.56 : x
  2. Step 2: Convert to fraction form
    30,557.25/46,458.56 = 46,458.56/x
  3. Step 3: Cross multiply
    30,557.25x = 46,458.56 × 46,458.56
  4. Step 4: Simplify right side
    30,557.25x = 2,158,398,029.57
  5. Step 5: Solve for x
    x = 2,158,398,029.57/30,557.25
  6. Step 6: Final answer
    x = 70,634.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.