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Finding the Third Proportional to 41,181.75 and 56,332.13

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Solution

The third proportional to 41,181.75 and 56,332.13 is: 77,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,181.75 : 56,332.13 = 56,332.13 : x
  2. Step 2: Convert to fraction form
    41,181.75/56,332.13 = 56,332.13/x
  3. Step 3: Cross multiply
    41,181.75x = 56,332.13 × 56,332.13
  4. Step 4: Simplify right side
    41,181.75x = 3,173,308,307.02
  5. Step 5: Solve for x
    x = 3,173,308,307.02/41,181.75
  6. Step 6: Final answer
    x = 77,056.18

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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.