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Finding the Third Proportional to 30,402 and 48,267

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Solution

The third proportional to 30,402 and 48,267 is: 76,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 48,267 = 48,267 : x
  2. Step 2: Convert to fraction form
    30,402/48,267 = 48,267/x
  3. Step 3: Cross multiply
    30,402x = 48,267 × 48,267
  4. Step 4: Simplify right side
    30,402x = 2,329,703,289
  5. Step 5: Solve for x
    x = 2,329,703,289/30,402
  6. Step 6: Final answer
    x = 76,629.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.