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Finding the Third Proportional to 6,132 and 15,106

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Solution

The third proportional to 6,132 and 15,106 is: 37,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132 : 15,106 = 15,106 : x
  2. Step 2: Convert to fraction form
    6,132/15,106 = 15,106/x
  3. Step 3: Cross multiply
    6,132x = 15,106 × 15,106
  4. Step 4: Simplify right side
    6,132x = 228,191,236
  5. Step 5: Solve for x
    x = 228,191,236/6,132
  6. Step 6: Final answer
    x = 37,213.18

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.