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Finding the Third Proportional to 24,965 and 35,114.94

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Solution

The third proportional to 24,965 and 35,114.94 is: 49,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965 : 35,114.94 = 35,114.94 : x
  2. Step 2: Convert to fraction form
    24,965/35,114.94 = 35,114.94/x
  3. Step 3: Cross multiply
    24,965x = 35,114.94 × 35,114.94
  4. Step 4: Simplify right side
    24,965x = 1,233,058,835.63
  5. Step 5: Solve for x
    x = 1,233,058,835.63/24,965
  6. Step 6: Final answer
    x = 49,391.50

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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.