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Finding the Third Proportional to 5,295.69 and 11,411.51

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Solution

The third proportional to 5,295.69 and 11,411.51 is: 24,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.69 : 11,411.51 = 11,411.51 : x
  2. Step 2: Convert to fraction form
    5,295.69/11,411.51 = 11,411.51/x
  3. Step 3: Cross multiply
    5,295.69x = 11,411.51 × 11,411.51
  4. Step 4: Simplify right side
    5,295.69x = 130,222,510.55
  5. Step 5: Solve for x
    x = 130,222,510.55/5,295.69
  6. Step 6: Final answer
    x = 24,590.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.