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Finding the Third Proportional to 10,823.63 and 22,512.38

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Solution

The third proportional to 10,823.63 and 22,512.38 is: 46,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.63 : 22,512.38 = 22,512.38 : x
  2. Step 2: Convert to fraction form
    10,823.63/22,512.38 = 22,512.38/x
  3. Step 3: Cross multiply
    10,823.63x = 22,512.38 × 22,512.38
  4. Step 4: Simplify right side
    10,823.63x = 506,807,028.14
  5. Step 5: Solve for x
    x = 506,807,028.14/10,823.63
  6. Step 6: Final answer
    x = 46,824.15

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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.