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Finding the Third Proportional to 2,090 and 5,417

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Solution

The third proportional to 2,090 and 5,417 is: 14,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090 : 5,417 = 5,417 : x
  2. Step 2: Convert to fraction form
    2,090/5,417 = 5,417/x
  3. Step 3: Cross multiply
    2,090x = 5,417 × 5,417
  4. Step 4: Simplify right side
    2,090x = 29,343,889
  5. Step 5: Solve for x
    x = 29,343,889/2,090
  6. Step 6: Final answer
    x = 14,040.14

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.