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Finding the Third Proportional to 40,248 and 58,049

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Solution

The third proportional to 40,248 and 58,049 is: 83,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,248 : 58,049 = 58,049 : x
  2. Step 2: Convert to fraction form
    40,248/58,049 = 58,049/x
  3. Step 3: Cross multiply
    40,248x = 58,049 × 58,049
  4. Step 4: Simplify right side
    40,248x = 3,369,686,401
  5. Step 5: Solve for x
    x = 3,369,686,401/40,248
  6. Step 6: Final answer
    x = 83,723.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.