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Finding the Third Proportional to 35,890.50 and 55,090.50

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Solution

The third proportional to 35,890.50 and 55,090.50 is: 84,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890.50 : 55,090.50 = 55,090.50 : x
  2. Step 2: Convert to fraction form
    35,890.50/55,090.50 = 55,090.50/x
  3. Step 3: Cross multiply
    35,890.50x = 55,090.50 × 55,090.50
  4. Step 4: Simplify right side
    35,890.50x = 3,034,963,190.25
  5. Step 5: Solve for x
    x = 3,034,963,190.25/35,890.50
  6. Step 6: Final answer
    x = 84,561.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.