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Finding the Third Proportional to 17,413 and 37,284

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Solution

The third proportional to 17,413 and 37,284 is: 79,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413 : 37,284 = 37,284 : x
  2. Step 2: Convert to fraction form
    17,413/37,284 = 37,284/x
  3. Step 3: Cross multiply
    17,413x = 37,284 × 37,284
  4. Step 4: Simplify right side
    17,413x = 1,390,096,656
  5. Step 5: Solve for x
    x = 1,390,096,656/17,413
  6. Step 6: Final answer
    x = 79,830.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.