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Finding the Third Proportional to 23,348 and 31,456.50

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Solution

The third proportional to 23,348 and 31,456.50 is: 42,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348 : 31,456.50 = 31,456.50 : x
  2. Step 2: Convert to fraction form
    23,348/31,456.50 = 31,456.50/x
  3. Step 3: Cross multiply
    23,348x = 31,456.50 × 31,456.50
  4. Step 4: Simplify right side
    23,348x = 989,511,392.25
  5. Step 5: Solve for x
    x = 989,511,392.25/23,348
  6. Step 6: Final answer
    x = 42,380.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.