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Finding the Third Proportional to 32,807.44 and 50,897.06

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Solution

The third proportional to 32,807.44 and 50,897.06 is: 78,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.44 : 50,897.06 = 50,897.06 : x
  2. Step 2: Convert to fraction form
    32,807.44/50,897.06 = 50,897.06/x
  3. Step 3: Cross multiply
    32,807.44x = 50,897.06 × 50,897.06
  4. Step 4: Simplify right side
    32,807.44x = 2,590,510,971.13
  5. Step 5: Solve for x
    x = 2,590,510,971.13/32,807.44
  6. Step 6: Final answer
    x = 78,961.09

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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.