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Finding the Third Proportional to 7,994.81 and 12,513.94

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Solution

The third proportional to 7,994.81 and 12,513.94 is: 19,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.81 : 12,513.94 = 12,513.94 : x
  2. Step 2: Convert to fraction form
    7,994.81/12,513.94 = 12,513.94/x
  3. Step 3: Cross multiply
    7,994.81x = 12,513.94 × 12,513.94
  4. Step 4: Simplify right side
    7,994.81x = 156,598,631.75
  5. Step 5: Solve for x
    x = 156,598,631.75/7,994.81
  6. Step 6: Final answer
    x = 19,587.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.