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Finding the Third Proportional to 46,097.86 and 69,570.56

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Solution

The third proportional to 46,097.86 and 69,570.56 is: 104,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,097.86 : 69,570.56 = 69,570.56 : x
  2. Step 2: Convert to fraction form
    46,097.86/69,570.56 = 69,570.56/x
  3. Step 3: Cross multiply
    46,097.86x = 69,570.56 × 69,570.56
  4. Step 4: Simplify right side
    46,097.86x = 4,840,063,166.57
  5. Step 5: Solve for x
    x = 4,840,063,166.57/46,097.86
  6. Step 6: Final answer
    x = 104,995.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.