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Finding the Third Proportional to 6,046 and 9,013

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Solution

The third proportional to 6,046 and 9,013 is: 13,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046 : 9,013 = 9,013 : x
  2. Step 2: Convert to fraction form
    6,046/9,013 = 9,013/x
  3. Step 3: Cross multiply
    6,046x = 9,013 × 9,013
  4. Step 4: Simplify right side
    6,046x = 81,234,169
  5. Step 5: Solve for x
    x = 81,234,169/6,046
  6. Step 6: Final answer
    x = 13,436.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.