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Finding the Third Proportional to 46,218 and 73,476

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Solution

The third proportional to 46,218 and 73,476 is: 116,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,218 : 73,476 = 73,476 : x
  2. Step 2: Convert to fraction form
    46,218/73,476 = 73,476/x
  3. Step 3: Cross multiply
    46,218x = 73,476 × 73,476
  4. Step 4: Simplify right side
    46,218x = 5,398,722,576
  5. Step 5: Solve for x
    x = 5,398,722,576/46,218
  6. Step 6: Final answer
    x = 116,809.96

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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.