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Finding the Third Proportional to 33,352 and 46,904

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Solution

The third proportional to 33,352 and 46,904 is: 65,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,352 : 46,904 = 46,904 : x
  2. Step 2: Convert to fraction form
    33,352/46,904 = 46,904/x
  3. Step 3: Cross multiply
    33,352x = 46,904 × 46,904
  4. Step 4: Simplify right side
    33,352x = 2,199,985,216
  5. Step 5: Solve for x
    x = 2,199,985,216/33,352
  6. Step 6: Final answer
    x = 65,962.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.