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Finding the Third Proportional to 12,961.75 and 28,434.50

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Solution

The third proportional to 12,961.75 and 28,434.50 is: 62,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.75 : 28,434.50 = 28,434.50 : x
  2. Step 2: Convert to fraction form
    12,961.75/28,434.50 = 28,434.50/x
  3. Step 3: Cross multiply
    12,961.75x = 28,434.50 × 28,434.50
  4. Step 4: Simplify right side
    12,961.75x = 808,520,790.25
  5. Step 5: Solve for x
    x = 808,520,790.25/12,961.75
  6. Step 6: Final answer
    x = 62,377.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.