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Finding the Third Proportional to 1,140 and 2,416

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Solution

The third proportional to 1,140 and 2,416 is: 5,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140 : 2,416 = 2,416 : x
  2. Step 2: Convert to fraction form
    1,140/2,416 = 2,416/x
  3. Step 3: Cross multiply
    1,140x = 2,416 × 2,416
  4. Step 4: Simplify right side
    1,140x = 5,837,056
  5. Step 5: Solve for x
    x = 5,837,056/1,140
  6. Step 6: Final answer
    x = 5,120.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.