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Finding the Third Proportional to 8,674 and 13,038

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Solution

The third proportional to 8,674 and 13,038 is: 19,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674 : 13,038 = 13,038 : x
  2. Step 2: Convert to fraction form
    8,674/13,038 = 13,038/x
  3. Step 3: Cross multiply
    8,674x = 13,038 × 13,038
  4. Step 4: Simplify right side
    8,674x = 169,989,444
  5. Step 5: Solve for x
    x = 169,989,444/8,674
  6. Step 6: Final answer
    x = 19,597.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.