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Finding the Third Proportional to 11,658.75 and 25,386.75

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Solution

The third proportional to 11,658.75 and 25,386.75 is: 55,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.75 : 25,386.75 = 25,386.75 : x
  2. Step 2: Convert to fraction form
    11,658.75/25,386.75 = 25,386.75/x
  3. Step 3: Cross multiply
    11,658.75x = 25,386.75 × 25,386.75
  4. Step 4: Simplify right side
    11,658.75x = 644,487,075.56
  5. Step 5: Solve for x
    x = 644,487,075.56/11,658.75
  6. Step 6: Final answer
    x = 55,279.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.