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Finding the Third Proportional to 30,810 and 71,886

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Solution

The third proportional to 30,810 and 71,886 is: 167,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 71,886 = 71,886 : x
  2. Step 2: Convert to fraction form
    30,810/71,886 = 71,886/x
  3. Step 3: Cross multiply
    30,810x = 71,886 × 71,886
  4. Step 4: Simplify right side
    30,810x = 5,167,596,996
  5. Step 5: Solve for x
    x = 5,167,596,996/30,810
  6. Step 6: Final answer
    x = 167,724.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.