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Finding the Third Proportional to 13,943 and 28,565

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Solution

The third proportional to 13,943 and 28,565 is: 58,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943 : 28,565 = 28,565 : x
  2. Step 2: Convert to fraction form
    13,943/28,565 = 28,565/x
  3. Step 3: Cross multiply
    13,943x = 28,565 × 28,565
  4. Step 4: Simplify right side
    13,943x = 815,959,225
  5. Step 5: Solve for x
    x = 815,959,225/13,943
  6. Step 6: Final answer
    x = 58,521.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.