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Finding the Third Proportional to 19,514 and 21,565

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Solution

The third proportional to 19,514 and 21,565 is: 23,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514 : 21,565 = 21,565 : x
  2. Step 2: Convert to fraction form
    19,514/21,565 = 21,565/x
  3. Step 3: Cross multiply
    19,514x = 21,565 × 21,565
  4. Step 4: Simplify right side
    19,514x = 465,049,225
  5. Step 5: Solve for x
    x = 465,049,225/19,514
  6. Step 6: Final answer
    x = 23,831.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.