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Finding the Third Proportional to 2,116 and 4,365

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Solution

The third proportional to 2,116 and 4,365 is: 9,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 4,365 = 4,365 : x
  2. Step 2: Convert to fraction form
    2,116/4,365 = 4,365/x
  3. Step 3: Cross multiply
    2,116x = 4,365 × 4,365
  4. Step 4: Simplify right side
    2,116x = 19,053,225
  5. Step 5: Solve for x
    x = 19,053,225/2,116
  6. Step 6: Final answer
    x = 9,004.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.