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Finding the Third Proportional to 11,568.75 and 24,780

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Solution

The third proportional to 11,568.75 and 24,780 is: 53,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.75 : 24,780 = 24,780 : x
  2. Step 2: Convert to fraction form
    11,568.75/24,780 = 24,780/x
  3. Step 3: Cross multiply
    11,568.75x = 24,780 × 24,780
  4. Step 4: Simplify right side
    11,568.75x = 614,048,400
  5. Step 5: Solve for x
    x = 614,048,400/11,568.75
  6. Step 6: Final answer
    x = 53,078.20

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