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Finding the Third Proportional to 30,756.38 and 40,385.25

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Solution

The third proportional to 30,756.38 and 40,385.25 is: 53,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.38 : 40,385.25 = 40,385.25 : x
  2. Step 2: Convert to fraction form
    30,756.38/40,385.25 = 40,385.25/x
  3. Step 3: Cross multiply
    30,756.38x = 40,385.25 × 40,385.25
  4. Step 4: Simplify right side
    30,756.38x = 1,630,968,417.56
  5. Step 5: Solve for x
    x = 1,630,968,417.56/30,756.38
  6. Step 6: Final answer
    x = 53,028.63

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.