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Finding the Third Proportional to 14,090 and 17,841

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Solution

The third proportional to 14,090 and 17,841 is: 22,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090 : 17,841 = 17,841 : x
  2. Step 2: Convert to fraction form
    14,090/17,841 = 17,841/x
  3. Step 3: Cross multiply
    14,090x = 17,841 × 17,841
  4. Step 4: Simplify right side
    14,090x = 318,301,281
  5. Step 5: Solve for x
    x = 318,301,281/14,090
  6. Step 6: Final answer
    x = 22,590.58

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.