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Finding the Third Proportional to 30,106 and 46,834

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Solution

The third proportional to 30,106 and 46,834 is: 72,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106 : 46,834 = 46,834 : x
  2. Step 2: Convert to fraction form
    30,106/46,834 = 46,834/x
  3. Step 3: Cross multiply
    30,106x = 46,834 × 46,834
  4. Step 4: Simplify right side
    30,106x = 2,193,423,556
  5. Step 5: Solve for x
    x = 2,193,423,556/30,106
  6. Step 6: Final answer
    x = 72,856.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.