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Finding the Third Proportional to 24,375.94 and 42,783.19

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Solution

The third proportional to 24,375.94 and 42,783.19 is: 75,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.94 : 42,783.19 = 42,783.19 : x
  2. Step 2: Convert to fraction form
    24,375.94/42,783.19 = 42,783.19/x
  3. Step 3: Cross multiply
    24,375.94x = 42,783.19 × 42,783.19
  4. Step 4: Simplify right side
    24,375.94x = 1,830,401,132.66
  5. Step 5: Solve for x
    x = 1,830,401,132.66/24,375.94
  6. Step 6: Final answer
    x = 75,090.49

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.