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Finding the Third Proportional to 40,852.69 and 56,256.19

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Solution

The third proportional to 40,852.69 and 56,256.19 is: 77,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,852.69 : 56,256.19 = 56,256.19 : x
  2. Step 2: Convert to fraction form
    40,852.69/56,256.19 = 56,256.19/x
  3. Step 3: Cross multiply
    40,852.69x = 56,256.19 × 56,256.19
  4. Step 4: Simplify right side
    40,852.69x = 3,164,758,632.04
  5. Step 5: Solve for x
    x = 3,164,758,632.04/40,852.69
  6. Step 6: Final answer
    x = 77,467.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.