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Finding the Third Proportional to 38,433 and 89,769

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Solution

The third proportional to 38,433 and 89,769 is: 209,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433 : 89,769 = 89,769 : x
  2. Step 2: Convert to fraction form
    38,433/89,769 = 89,769/x
  3. Step 3: Cross multiply
    38,433x = 89,769 × 89,769
  4. Step 4: Simplify right side
    38,433x = 8,058,473,361
  5. Step 5: Solve for x
    x = 8,058,473,361/38,433
  6. Step 6: Final answer
    x = 209,675.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.