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Finding the Third Proportional to 46,834.50 and 73,389.75

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Solution

The third proportional to 46,834.50 and 73,389.75 is: 115,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,834.50 : 73,389.75 = 73,389.75 : x
  2. Step 2: Convert to fraction form
    46,834.50/73,389.75 = 73,389.75/x
  3. Step 3: Cross multiply
    46,834.50x = 73,389.75 × 73,389.75
  4. Step 4: Simplify right side
    46,834.50x = 5,386,055,405.06
  5. Step 5: Solve for x
    x = 5,386,055,405.06/46,834.50
  6. Step 6: Final answer
    x = 115,001.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.