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Finding the Third Proportional to 8,514 and 19,237

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Solution

The third proportional to 8,514 and 19,237 is: 43,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 19,237 = 19,237 : x
  2. Step 2: Convert to fraction form
    8,514/19,237 = 19,237/x
  3. Step 3: Cross multiply
    8,514x = 19,237 × 19,237
  4. Step 4: Simplify right side
    8,514x = 370,062,169
  5. Step 5: Solve for x
    x = 370,062,169/8,514
  6. Step 6: Final answer
    x = 43,465.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.