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Finding the Third Proportional to 46,643 and 73,976

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Solution

The third proportional to 46,643 and 73,976 is: 117,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643 : 73,976 = 73,976 : x
  2. Step 2: Convert to fraction form
    46,643/73,976 = 73,976/x
  3. Step 3: Cross multiply
    46,643x = 73,976 × 73,976
  4. Step 4: Simplify right side
    46,643x = 5,472,448,576
  5. Step 5: Solve for x
    x = 5,472,448,576/46,643
  6. Step 6: Final answer
    x = 117,326.26

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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.