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Finding the Third Proportional to 46,392.75 and 72,014.06

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Solution

The third proportional to 46,392.75 and 72,014.06 is: 111,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,392.75 : 72,014.06 = 72,014.06 : x
  2. Step 2: Convert to fraction form
    46,392.75/72,014.06 = 72,014.06/x
  3. Step 3: Cross multiply
    46,392.75x = 72,014.06 × 72,014.06
  4. Step 4: Simplify right side
    46,392.75x = 5,186,025,197.75
  5. Step 5: Solve for x
    x = 5,186,025,197.75/46,392.75
  6. Step 6: Final answer
    x = 111,785.25

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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.