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Finding the Third Proportional to 7,913.50 and 12,253

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Solution

The third proportional to 7,913.50 and 12,253 is: 18,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.50 : 12,253 = 12,253 : x
  2. Step 2: Convert to fraction form
    7,913.50/12,253 = 12,253/x
  3. Step 3: Cross multiply
    7,913.50x = 12,253 × 12,253
  4. Step 4: Simplify right side
    7,913.50x = 150,136,009
  5. Step 5: Solve for x
    x = 150,136,009/7,913.50
  6. Step 6: Final answer
    x = 18,972.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.