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Finding the Third Proportional to 32,976 and 46,128

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Solution

The third proportional to 32,976 and 46,128 is: 64,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 46,128 = 46,128 : x
  2. Step 2: Convert to fraction form
    32,976/46,128 = 46,128/x
  3. Step 3: Cross multiply
    32,976x = 46,128 × 46,128
  4. Step 4: Simplify right side
    32,976x = 2,127,792,384
  5. Step 5: Solve for x
    x = 2,127,792,384/32,976
  6. Step 6: Final answer
    x = 64,525.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.