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Finding the Third Proportional to 2,310 and 5,407

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Solution

The third proportional to 2,310 and 5,407 is: 12,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310 : 5,407 = 5,407 : x
  2. Step 2: Convert to fraction form
    2,310/5,407 = 5,407/x
  3. Step 3: Cross multiply
    2,310x = 5,407 × 5,407
  4. Step 4: Simplify right side
    2,310x = 29,235,649
  5. Step 5: Solve for x
    x = 29,235,649/2,310
  6. Step 6: Final answer
    x = 12,656.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.