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Finding the Third Proportional to 46,677.75 and 69,711.75

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Solution

The third proportional to 46,677.75 and 69,711.75 is: 104,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.75 : 69,711.75 = 69,711.75 : x
  2. Step 2: Convert to fraction form
    46,677.75/69,711.75 = 69,711.75/x
  3. Step 3: Cross multiply
    46,677.75x = 69,711.75 × 69,711.75
  4. Step 4: Simplify right side
    46,677.75x = 4,859,728,088.06
  5. Step 5: Solve for x
    x = 4,859,728,088.06/46,677.75
  6. Step 6: Final answer
    x = 104,112.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.