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Finding the Third Proportional to 22,897.69 and 51,180.19

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Solution

The third proportional to 22,897.69 and 51,180.19 is: 114,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.69 : 51,180.19 = 51,180.19 : x
  2. Step 2: Convert to fraction form
    22,897.69/51,180.19 = 51,180.19/x
  3. Step 3: Cross multiply
    22,897.69x = 51,180.19 × 51,180.19
  4. Step 4: Simplify right side
    22,897.69x = 2,619,411,592.54
  5. Step 5: Solve for x
    x = 2,619,411,592.54/22,897.69
  6. Step 6: Final answer
    x = 114,396.34

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.