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Finding the Third Proportional to 30,294 and 46,401

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Solution

The third proportional to 30,294 and 46,401 is: 71,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 46,401 = 46,401 : x
  2. Step 2: Convert to fraction form
    30,294/46,401 = 46,401/x
  3. Step 3: Cross multiply
    30,294x = 46,401 × 46,401
  4. Step 4: Simplify right side
    30,294x = 2,153,052,801
  5. Step 5: Solve for x
    x = 2,153,052,801/30,294
  6. Step 6: Final answer
    x = 71,071.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.