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Finding the Third Proportional to 25,975.69 and 58,557.94

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Solution

The third proportional to 25,975.69 and 58,557.94 is: 132,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.69 : 58,557.94 = 58,557.94 : x
  2. Step 2: Convert to fraction form
    25,975.69/58,557.94 = 58,557.94/x
  3. Step 3: Cross multiply
    25,975.69x = 58,557.94 × 58,557.94
  4. Step 4: Simplify right side
    25,975.69x = 3,429,032,044.25
  5. Step 5: Solve for x
    x = 3,429,032,044.25/25,975.69
  6. Step 6: Final answer
    x = 132,009.29

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.