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Finding the Third Proportional to 32,686.88 and 50,268.94

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Solution

The third proportional to 32,686.88 and 50,268.94 is: 77,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.88 : 50,268.94 = 50,268.94 : x
  2. Step 2: Convert to fraction form
    32,686.88/50,268.94 = 50,268.94/x
  3. Step 3: Cross multiply
    32,686.88x = 50,268.94 × 50,268.94
  4. Step 4: Simplify right side
    32,686.88x = 2,526,966,077.38
  5. Step 5: Solve for x
    x = 2,526,966,077.38/32,686.88
  6. Step 6: Final answer
    x = 77,308.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.