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Finding the Third Proportional to 2,516 and 2,888

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Solution

The third proportional to 2,516 and 2,888 is: 3,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516 : 2,888 = 2,888 : x
  2. Step 2: Convert to fraction form
    2,516/2,888 = 2,888/x
  3. Step 3: Cross multiply
    2,516x = 2,888 × 2,888
  4. Step 4: Simplify right side
    2,516x = 8,340,544
  5. Step 5: Solve for x
    x = 8,340,544/2,516
  6. Step 6: Final answer
    x = 3,315.00

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.