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Finding the Third Proportional to 40,263 and 56,640

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Solution

The third proportional to 40,263 and 56,640 is: 79,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,263 : 56,640 = 56,640 : x
  2. Step 2: Convert to fraction form
    40,263/56,640 = 56,640/x
  3. Step 3: Cross multiply
    40,263x = 56,640 × 56,640
  4. Step 4: Simplify right side
    40,263x = 3,208,089,600
  5. Step 5: Solve for x
    x = 3,208,089,600/40,263
  6. Step 6: Final answer
    x = 79,678.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.