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Finding the Third Proportional to 15,197 and 32,823

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Solution

The third proportional to 15,197 and 32,823 is: 70,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197 : 32,823 = 32,823 : x
  2. Step 2: Convert to fraction form
    15,197/32,823 = 32,823/x
  3. Step 3: Cross multiply
    15,197x = 32,823 × 32,823
  4. Step 4: Simplify right side
    15,197x = 1,077,349,329
  5. Step 5: Solve for x
    x = 1,077,349,329/15,197
  6. Step 6: Final answer
    x = 70,892.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.