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Finding the Third Proportional to 910 and 2,447

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Solution

The third proportional to 910 and 2,447 is: 6,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    910 : 2,447 = 2,447 : x
  2. Step 2: Convert to fraction form
    910/2,447 = 2,447/x
  3. Step 3: Cross multiply
    910x = 2,447 × 2,447
  4. Step 4: Simplify right side
    910x = 5,987,809
  5. Step 5: Solve for x
    x = 5,987,809/910
  6. Step 6: Final answer
    x = 6,580.01

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.