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Finding the Third Proportional to 40,148.16 and 56,393.72

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Solution

The third proportional to 40,148.16 and 56,393.72 is: 79,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,148.16 : 56,393.72 = 56,393.72 : x
  2. Step 2: Convert to fraction form
    40,148.16/56,393.72 = 56,393.72/x
  3. Step 3: Cross multiply
    40,148.16x = 56,393.72 × 56,393.72
  4. Step 4: Simplify right side
    40,148.16x = 3,180,251,514.45
  5. Step 5: Solve for x
    x = 3,180,251,514.45/40,148.16
  6. Step 6: Final answer
    x = 79,212.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.