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Finding the Third Proportional to 16,000 and 34,312

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Solution

The third proportional to 16,000 and 34,312 is: 73,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000 : 34,312 = 34,312 : x
  2. Step 2: Convert to fraction form
    16,000/34,312 = 34,312/x
  3. Step 3: Cross multiply
    16,000x = 34,312 × 34,312
  4. Step 4: Simplify right side
    16,000x = 1,177,313,344
  5. Step 5: Solve for x
    x = 1,177,313,344/16,000
  6. Step 6: Final answer
    x = 73,582.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.