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Finding the Third Proportional to 24,354 and 34,835

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Solution

The third proportional to 24,354 and 34,835 is: 49,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354 : 34,835 = 34,835 : x
  2. Step 2: Convert to fraction form
    24,354/34,835 = 34,835/x
  3. Step 3: Cross multiply
    24,354x = 34,835 × 34,835
  4. Step 4: Simplify right side
    24,354x = 1,213,477,225
  5. Step 5: Solve for x
    x = 1,213,477,225/24,354
  6. Step 6: Final answer
    x = 49,826.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.