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Finding the Third Proportional to 32,804 and 69,904

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Solution

The third proportional to 32,804 and 69,904 is: 148,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804 : 69,904 = 69,904 : x
  2. Step 2: Convert to fraction form
    32,804/69,904 = 69,904/x
  3. Step 3: Cross multiply
    32,804x = 69,904 × 69,904
  4. Step 4: Simplify right side
    32,804x = 4,886,569,216
  5. Step 5: Solve for x
    x = 4,886,569,216/32,804
  6. Step 6: Final answer
    x = 148,962.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.