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Finding the Third Proportional to 2,776 and 6,038

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Solution

The third proportional to 2,776 and 6,038 is: 13,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 6,038 = 6,038 : x
  2. Step 2: Convert to fraction form
    2,776/6,038 = 6,038/x
  3. Step 3: Cross multiply
    2,776x = 6,038 × 6,038
  4. Step 4: Simplify right side
    2,776x = 36,457,444
  5. Step 5: Solve for x
    x = 36,457,444/2,776
  6. Step 6: Final answer
    x = 13,133.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.