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Finding the Third Proportional to 2,046 and 4,416

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Solution

The third proportional to 2,046 and 4,416 is: 9,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 4,416 = 4,416 : x
  2. Step 2: Convert to fraction form
    2,046/4,416 = 4,416/x
  3. Step 3: Cross multiply
    2,046x = 4,416 × 4,416
  4. Step 4: Simplify right side
    2,046x = 19,501,056
  5. Step 5: Solve for x
    x = 19,501,056/2,046
  6. Step 6: Final answer
    x = 9,531.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.