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Finding the Third Proportional to 36,268.50 and 56,046

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Solution

The third proportional to 36,268.50 and 56,046 is: 86,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,268.50 : 56,046 = 56,046 : x
  2. Step 2: Convert to fraction form
    36,268.50/56,046 = 56,046/x
  3. Step 3: Cross multiply
    36,268.50x = 56,046 × 56,046
  4. Step 4: Simplify right side
    36,268.50x = 3,141,154,116
  5. Step 5: Solve for x
    x = 3,141,154,116/36,268.50
  6. Step 6: Final answer
    x = 86,608.33

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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.