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Finding the Third Proportional to 46,140.38 and 65,980.69

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Solution

The third proportional to 46,140.38 and 65,980.69 is: 94,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140.38 : 65,980.69 = 65,980.69 : x
  2. Step 2: Convert to fraction form
    46,140.38/65,980.69 = 65,980.69/x
  3. Step 3: Cross multiply
    46,140.38x = 65,980.69 × 65,980.69
  4. Step 4: Simplify right side
    46,140.38x = 4,353,451,122.97
  5. Step 5: Solve for x
    x = 4,353,451,122.97/46,140.38
  6. Step 6: Final answer
    x = 94,352.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.