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Finding the Third Proportional to 46,194.75 and 60,657.75

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Solution

The third proportional to 46,194.75 and 60,657.75 is: 79,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,194.75 : 60,657.75 = 60,657.75 : x
  2. Step 2: Convert to fraction form
    46,194.75/60,657.75 = 60,657.75/x
  3. Step 3: Cross multiply
    46,194.75x = 60,657.75 × 60,657.75
  4. Step 4: Simplify right side
    46,194.75x = 3,679,362,635.06
  5. Step 5: Solve for x
    x = 3,679,362,635.06/46,194.75
  6. Step 6: Final answer
    x = 79,648.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.