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Finding the Third Proportional to 46,984 and 102,824

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Solution

The third proportional to 46,984 and 102,824 is: 225,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,984 : 102,824 = 102,824 : x
  2. Step 2: Convert to fraction form
    46,984/102,824 = 102,824/x
  3. Step 3: Cross multiply
    46,984x = 102,824 × 102,824
  4. Step 4: Simplify right side
    46,984x = 10,572,774,976
  5. Step 5: Solve for x
    x = 10,572,774,976/46,984
  6. Step 6: Final answer
    x = 225,029.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.