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Finding the Third Proportional to 28,204 and 42,312

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Solution

The third proportional to 28,204 and 42,312 is: 63,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204 : 42,312 = 42,312 : x
  2. Step 2: Convert to fraction form
    28,204/42,312 = 42,312/x
  3. Step 3: Cross multiply
    28,204x = 42,312 × 42,312
  4. Step 4: Simplify right side
    28,204x = 1,790,305,344
  5. Step 5: Solve for x
    x = 1,790,305,344/28,204
  6. Step 6: Final answer
    x = 63,477.00

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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.