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Finding the Third Proportional to 13,020 and 30,703.50

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Solution

The third proportional to 13,020 and 30,703.50 is: 72,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020 : 30,703.50 = 30,703.50 : x
  2. Step 2: Convert to fraction form
    13,020/30,703.50 = 30,703.50/x
  3. Step 3: Cross multiply
    13,020x = 30,703.50 × 30,703.50
  4. Step 4: Simplify right side
    13,020x = 942,704,912.25
  5. Step 5: Solve for x
    x = 942,704,912.25/13,020
  6. Step 6: Final answer
    x = 72,404.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.