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Finding the Third Proportional to 30,040 and 44,951

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Solution

The third proportional to 30,040 and 44,951 is: 67,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040 : 44,951 = 44,951 : x
  2. Step 2: Convert to fraction form
    30,040/44,951 = 44,951/x
  3. Step 3: Cross multiply
    30,040x = 44,951 × 44,951
  4. Step 4: Simplify right side
    30,040x = 2,020,592,401
  5. Step 5: Solve for x
    x = 2,020,592,401/30,040
  6. Step 6: Final answer
    x = 67,263.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.