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Finding the Third Proportional to 15,104 and 31,585

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Solution

The third proportional to 15,104 and 31,585 is: 66,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104 : 31,585 = 31,585 : x
  2. Step 2: Convert to fraction form
    15,104/31,585 = 31,585/x
  3. Step 3: Cross multiply
    15,104x = 31,585 × 31,585
  4. Step 4: Simplify right side
    15,104x = 997,612,225
  5. Step 5: Solve for x
    x = 997,612,225/15,104
  6. Step 6: Final answer
    x = 66,049.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.