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Finding the Third Proportional to 6,868.50 and 14,803

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Solution

The third proportional to 6,868.50 and 14,803 is: 31,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.50 : 14,803 = 14,803 : x
  2. Step 2: Convert to fraction form
    6,868.50/14,803 = 14,803/x
  3. Step 3: Cross multiply
    6,868.50x = 14,803 × 14,803
  4. Step 4: Simplify right side
    6,868.50x = 219,128,809
  5. Step 5: Solve for x
    x = 219,128,809/6,868.50
  6. Step 6: Final answer
    x = 31,903.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.