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Finding the Third Proportional to 5,984 and 15,104

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Solution

The third proportional to 5,984 and 15,104 is: 38,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 15,104 = 15,104 : x
  2. Step 2: Convert to fraction form
    5,984/15,104 = 15,104/x
  3. Step 3: Cross multiply
    5,984x = 15,104 × 15,104
  4. Step 4: Simplify right side
    5,984x = 228,130,816
  5. Step 5: Solve for x
    x = 228,130,816/5,984
  6. Step 6: Final answer
    x = 38,123.47

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.