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Finding the Third Proportional to 17,046 and 36,513

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Solution

The third proportional to 17,046 and 36,513 is: 78,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046 : 36,513 = 36,513 : x
  2. Step 2: Convert to fraction form
    17,046/36,513 = 36,513/x
  3. Step 3: Cross multiply
    17,046x = 36,513 × 36,513
  4. Step 4: Simplify right side
    17,046x = 1,333,199,169
  5. Step 5: Solve for x
    x = 1,333,199,169/17,046
  6. Step 6: Final answer
    x = 78,211.85

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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.