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Finding the Third Proportional to 10,963.69 and 23,385.38

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Solution

The third proportional to 10,963.69 and 23,385.38 is: 49,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.69 : 23,385.38 = 23,385.38 : x
  2. Step 2: Convert to fraction form
    10,963.69/23,385.38 = 23,385.38/x
  3. Step 3: Cross multiply
    10,963.69x = 23,385.38 × 23,385.38
  4. Step 4: Simplify right side
    10,963.69x = 546,875,763.89
  5. Step 5: Solve for x
    x = 546,875,763.89/10,963.69
  6. Step 6: Final answer
    x = 49,880.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.