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Finding the Third Proportional to 23,780.25 and 56,237.63

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Solution

The third proportional to 23,780.25 and 56,237.63 is: 132,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.25 : 56,237.63 = 56,237.63 : x
  2. Step 2: Convert to fraction form
    23,780.25/56,237.63 = 56,237.63/x
  3. Step 3: Cross multiply
    23,780.25x = 56,237.63 × 56,237.63
  4. Step 4: Simplify right side
    23,780.25x = 3,162,670,465.64
  5. Step 5: Solve for x
    x = 3,162,670,465.64/23,780.25
  6. Step 6: Final answer
    x = 132,995.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.