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Finding the Third Proportional to 13,672 and 30,038

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Solution

The third proportional to 13,672 and 30,038 is: 65,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672 : 30,038 = 30,038 : x
  2. Step 2: Convert to fraction form
    13,672/30,038 = 30,038/x
  3. Step 3: Cross multiply
    13,672x = 30,038 × 30,038
  4. Step 4: Simplify right side
    13,672x = 902,281,444
  5. Step 5: Solve for x
    x = 902,281,444/13,672
  6. Step 6: Final answer
    x = 65,994.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.