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Finding the Third Proportional to 12,031.50 and 24,732

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Solution

The third proportional to 12,031.50 and 24,732 is: 50,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.50 : 24,732 = 24,732 : x
  2. Step 2: Convert to fraction form
    12,031.50/24,732 = 24,732/x
  3. Step 3: Cross multiply
    12,031.50x = 24,732 × 24,732
  4. Step 4: Simplify right side
    12,031.50x = 611,671,824
  5. Step 5: Solve for x
    x = 611,671,824/12,031.50
  6. Step 6: Final answer
    x = 50,839.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.