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Finding the Third Proportional to 2,607 and 5,316

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Solution

The third proportional to 2,607 and 5,316 is: 10,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607 : 5,316 = 5,316 : x
  2. Step 2: Convert to fraction form
    2,607/5,316 = 5,316/x
  3. Step 3: Cross multiply
    2,607x = 5,316 × 5,316
  4. Step 4: Simplify right side
    2,607x = 28,259,856
  5. Step 5: Solve for x
    x = 28,259,856/2,607
  6. Step 6: Final answer
    x = 10,839.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.