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Finding the Third Proportional to 46,576 and 74,456

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Solution

The third proportional to 46,576 and 74,456 is: 119,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,576 : 74,456 = 74,456 : x
  2. Step 2: Convert to fraction form
    46,576/74,456 = 74,456/x
  3. Step 3: Cross multiply
    46,576x = 74,456 × 74,456
  4. Step 4: Simplify right side
    46,576x = 5,543,695,936
  5. Step 5: Solve for x
    x = 5,543,695,936/46,576
  6. Step 6: Final answer
    x = 119,024.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.