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Finding the Third Proportional to 30,804 and 64,827

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Solution

The third proportional to 30,804 and 64,827 is: 136,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804 : 64,827 = 64,827 : x
  2. Step 2: Convert to fraction form
    30,804/64,827 = 64,827/x
  3. Step 3: Cross multiply
    30,804x = 64,827 × 64,827
  4. Step 4: Simplify right side
    30,804x = 4,202,539,929
  5. Step 5: Solve for x
    x = 4,202,539,929/30,804
  6. Step 6: Final answer
    x = 136,428.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.