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Finding the Third Proportional to 35,880 and 49,254

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Solution

The third proportional to 35,880 and 49,254 is: 67,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880 : 49,254 = 49,254 : x
  2. Step 2: Convert to fraction form
    35,880/49,254 = 49,254/x
  3. Step 3: Cross multiply
    35,880x = 49,254 × 49,254
  4. Step 4: Simplify right side
    35,880x = 2,425,956,516
  5. Step 5: Solve for x
    x = 2,425,956,516/35,880
  6. Step 6: Final answer
    x = 67,613.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.