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Finding the Third Proportional to 12,332 and 24,049

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Solution

The third proportional to 12,332 and 24,049 is: 46,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332 : 24,049 = 24,049 : x
  2. Step 2: Convert to fraction form
    12,332/24,049 = 24,049/x
  3. Step 3: Cross multiply
    12,332x = 24,049 × 24,049
  4. Step 4: Simplify right side
    12,332x = 578,354,401
  5. Step 5: Solve for x
    x = 578,354,401/12,332
  6. Step 6: Final answer
    x = 46,898.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.