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Finding the Third Proportional to 14,090 and 21,742

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Solution

The third proportional to 14,090 and 21,742 is: 33,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090 : 21,742 = 21,742 : x
  2. Step 2: Convert to fraction form
    14,090/21,742 = 21,742/x
  3. Step 3: Cross multiply
    14,090x = 21,742 × 21,742
  4. Step 4: Simplify right side
    14,090x = 472,714,564
  5. Step 5: Solve for x
    x = 472,714,564/14,090
  6. Step 6: Final answer
    x = 33,549.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.