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Finding the Third Proportional to 7,585 and 11,873

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Solution

The third proportional to 7,585 and 11,873 is: 18,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585 : 11,873 = 11,873 : x
  2. Step 2: Convert to fraction form
    7,585/11,873 = 11,873/x
  3. Step 3: Cross multiply
    7,585x = 11,873 × 11,873
  4. Step 4: Simplify right side
    7,585x = 140,968,129
  5. Step 5: Solve for x
    x = 140,968,129/7,585
  6. Step 6: Final answer
    x = 18,585.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.