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Finding the Third Proportional to 13,585 and 28,809

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Solution

The third proportional to 13,585 and 28,809 is: 61,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585 : 28,809 = 28,809 : x
  2. Step 2: Convert to fraction form
    13,585/28,809 = 28,809/x
  3. Step 3: Cross multiply
    13,585x = 28,809 × 28,809
  4. Step 4: Simplify right side
    13,585x = 829,958,481
  5. Step 5: Solve for x
    x = 829,958,481/13,585
  6. Step 6: Final answer
    x = 61,093.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.