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Finding the Third Proportional to 46,467 and 73,854

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Solution

The third proportional to 46,467 and 73,854 is: 117,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467 : 73,854 = 73,854 : x
  2. Step 2: Convert to fraction form
    46,467/73,854 = 73,854/x
  3. Step 3: Cross multiply
    46,467x = 73,854 × 73,854
  4. Step 4: Simplify right side
    46,467x = 5,454,413,316
  5. Step 5: Solve for x
    x = 5,454,413,316/46,467
  6. Step 6: Final answer
    x = 117,382.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.