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Finding the Third Proportional to 46,615 and 73,849.50

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Solution

The third proportional to 46,615 and 73,849.50 is: 116,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,615 : 73,849.50 = 73,849.50 : x
  2. Step 2: Convert to fraction form
    46,615/73,849.50 = 73,849.50/x
  3. Step 3: Cross multiply
    46,615x = 73,849.50 × 73,849.50
  4. Step 4: Simplify right side
    46,615x = 5,453,748,650.25
  5. Step 5: Solve for x
    x = 5,453,748,650.25/46,615
  6. Step 6: Final answer
    x = 116,995.57

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.