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Finding the Third Proportional to 36,261.74 and 56,032.86

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Solution

The third proportional to 36,261.74 and 56,032.86 is: 86,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,261.74 : 56,032.86 = 56,032.86 : x
  2. Step 2: Convert to fraction form
    36,261.74/56,032.86 = 56,032.86/x
  3. Step 3: Cross multiply
    36,261.74x = 56,032.86 × 56,032.86
  4. Step 4: Simplify right side
    36,261.74x = 3,139,681,110.86
  5. Step 5: Solve for x
    x = 3,139,681,110.86/36,261.74
  6. Step 6: Final answer
    x = 86,583.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.