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Finding the Third Proportional to 44,362 and 64,824

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Solution

The third proportional to 44,362 and 64,824 is: 94,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,362 : 64,824 = 64,824 : x
  2. Step 2: Convert to fraction form
    44,362/64,824 = 64,824/x
  3. Step 3: Cross multiply
    44,362x = 64,824 × 64,824
  4. Step 4: Simplify right side
    44,362x = 4,202,150,976
  5. Step 5: Solve for x
    x = 4,202,150,976/44,362
  6. Step 6: Final answer
    x = 94,724.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.