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Finding the Third Proportional to 40,888 and 52,904

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Solution

The third proportional to 40,888 and 52,904 is: 68,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,888 : 52,904 = 52,904 : x
  2. Step 2: Convert to fraction form
    40,888/52,904 = 52,904/x
  3. Step 3: Cross multiply
    40,888x = 52,904 × 52,904
  4. Step 4: Simplify right side
    40,888x = 2,798,833,216
  5. Step 5: Solve for x
    x = 2,798,833,216/40,888
  6. Step 6: Final answer
    x = 68,451.21

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.