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Finding the Third Proportional to 30,462 and 46,017

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Solution

The third proportional to 30,462 and 46,017 is: 69,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462 : 46,017 = 46,017 : x
  2. Step 2: Convert to fraction form
    30,462/46,017 = 46,017/x
  3. Step 3: Cross multiply
    30,462x = 46,017 × 46,017
  4. Step 4: Simplify right side
    30,462x = 2,117,564,289
  5. Step 5: Solve for x
    x = 2,117,564,289/30,462
  6. Step 6: Final answer
    x = 69,514.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.