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Finding the Third Proportional to 11,152.69 and 23,877.28

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Solution

The third proportional to 11,152.69 and 23,877.28 is: 51,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.69 : 23,877.28 = 23,877.28 : x
  2. Step 2: Convert to fraction form
    11,152.69/23,877.28 = 23,877.28/x
  3. Step 3: Cross multiply
    11,152.69x = 23,877.28 × 23,877.28
  4. Step 4: Simplify right side
    11,152.69x = 570,124,559.89
  5. Step 5: Solve for x
    x = 570,124,559.89/11,152.69
  6. Step 6: Final answer
    x = 51,119.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.