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Finding the Third Proportional to 2,065 and 4,417

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Solution

The third proportional to 2,065 and 4,417 is: 9,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 4,417 = 4,417 : x
  2. Step 2: Convert to fraction form
    2,065/4,417 = 4,417/x
  3. Step 3: Cross multiply
    2,065x = 4,417 × 4,417
  4. Step 4: Simplify right side
    2,065x = 19,509,889
  5. Step 5: Solve for x
    x = 19,509,889/2,065
  6. Step 6: Final answer
    x = 9,447.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.