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Finding the Third Proportional to 34,590.38 and 46,947.38

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Solution

The third proportional to 34,590.38 and 46,947.38 is: 63,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590.38 : 46,947.38 = 46,947.38 : x
  2. Step 2: Convert to fraction form
    34,590.38/46,947.38 = 46,947.38/x
  3. Step 3: Cross multiply
    34,590.38x = 46,947.38 × 46,947.38
  4. Step 4: Simplify right side
    34,590.38x = 2,204,056,019.39
  5. Step 5: Solve for x
    x = 2,204,056,019.39/34,590.38
  6. Step 6: Final answer
    x = 63,718.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.