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Finding the Third Proportional to 15,584 and 32,894

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Solution

The third proportional to 15,584 and 32,894 is: 69,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584 : 32,894 = 32,894 : x
  2. Step 2: Convert to fraction form
    15,584/32,894 = 32,894/x
  3. Step 3: Cross multiply
    15,584x = 32,894 × 32,894
  4. Step 4: Simplify right side
    15,584x = 1,082,015,236
  5. Step 5: Solve for x
    x = 1,082,015,236/15,584
  6. Step 6: Final answer
    x = 69,431.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.