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Finding the Third Proportional to 12,113.50 and 24,672.50

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Solution

The third proportional to 12,113.50 and 24,672.50 is: 50,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.50 : 24,672.50 = 24,672.50 : x
  2. Step 2: Convert to fraction form
    12,113.50/24,672.50 = 24,672.50/x
  3. Step 3: Cross multiply
    12,113.50x = 24,672.50 × 24,672.50
  4. Step 4: Simplify right side
    12,113.50x = 608,732,256.25
  5. Step 5: Solve for x
    x = 608,732,256.25/12,113.50
  6. Step 6: Final answer
    x = 50,252.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.