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Finding the Third Proportional to 46,341 and 70,809.75

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Solution

The third proportional to 46,341 and 70,809.75 is: 108,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,341 : 70,809.75 = 70,809.75 : x
  2. Step 2: Convert to fraction form
    46,341/70,809.75 = 70,809.75/x
  3. Step 3: Cross multiply
    46,341x = 70,809.75 × 70,809.75
  4. Step 4: Simplify right side
    46,341x = 5,014,020,695.06
  5. Step 5: Solve for x
    x = 5,014,020,695.06/46,341
  6. Step 6: Final answer
    x = 108,198.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.