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Finding the Third Proportional to 24,179 and 34,050

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Solution

The third proportional to 24,179 and 34,050 is: 47,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179 : 34,050 = 34,050 : x
  2. Step 2: Convert to fraction form
    24,179/34,050 = 34,050/x
  3. Step 3: Cross multiply
    24,179x = 34,050 × 34,050
  4. Step 4: Simplify right side
    24,179x = 1,159,402,500
  5. Step 5: Solve for x
    x = 1,159,402,500/24,179
  6. Step 6: Final answer
    x = 47,950.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.