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Finding the Third Proportional to 41,465.25 and 56,741.77

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Solution

The third proportional to 41,465.25 and 56,741.77 is: 77,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,465.25 : 56,741.77 = 56,741.77 : x
  2. Step 2: Convert to fraction form
    41,465.25/56,741.77 = 56,741.77/x
  3. Step 3: Cross multiply
    41,465.25x = 56,741.77 × 56,741.77
  4. Step 4: Simplify right side
    41,465.25x = 3,219,627,966.24
  5. Step 5: Solve for x
    x = 3,219,627,966.24/41,465.25
  6. Step 6: Final answer
    x = 77,646.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.