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Finding the Third Proportional to 11,557.69 and 25,347.94

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Solution

The third proportional to 11,557.69 and 25,347.94 is: 55,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 25,347.94 = 25,347.94 : x
  2. Step 2: Convert to fraction form
    11,557.69/25,347.94 = 25,347.94/x
  3. Step 3: Cross multiply
    11,557.69x = 25,347.94 × 25,347.94
  4. Step 4: Simplify right side
    11,557.69x = 642,517,935.50
  5. Step 5: Solve for x
    x = 642,517,935.50/11,557.69
  6. Step 6: Final answer
    x = 55,592.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.