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Finding the Third Proportional to 10,825 and 22,515

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Solution

The third proportional to 10,825 and 22,515 is: 46,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825 : 22,515 = 22,515 : x
  2. Step 2: Convert to fraction form
    10,825/22,515 = 22,515/x
  3. Step 3: Cross multiply
    10,825x = 22,515 × 22,515
  4. Step 4: Simplify right side
    10,825x = 506,925,225
  5. Step 5: Solve for x
    x = 506,925,225/10,825
  6. Step 6: Final answer
    x = 46,829.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.