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Finding the Third Proportional to 12,430.50 and 24,231

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Solution

The third proportional to 12,430.50 and 24,231 is: 47,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.50 : 24,231 = 24,231 : x
  2. Step 2: Convert to fraction form
    12,430.50/24,231 = 24,231/x
  3. Step 3: Cross multiply
    12,430.50x = 24,231 × 24,231
  4. Step 4: Simplify right side
    12,430.50x = 587,141,361
  5. Step 5: Solve for x
    x = 587,141,361/12,430.50
  6. Step 6: Final answer
    x = 47,233.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.