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Finding the Third Proportional to 35,292.38 and 55,022.63

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Solution

The third proportional to 35,292.38 and 55,022.63 is: 85,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,292.38 : 55,022.63 = 55,022.63 : x
  2. Step 2: Convert to fraction form
    35,292.38/55,022.63 = 55,022.63/x
  3. Step 3: Cross multiply
    35,292.38x = 55,022.63 × 55,022.63
  4. Step 4: Simplify right side
    35,292.38x = 3,027,489,261.89
  5. Step 5: Solve for x
    x = 3,027,489,261.89/35,292.38
  6. Step 6: Final answer
    x = 85,783.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.