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Finding the Third Proportional to 35,784.07 and 55,436.06

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Solution

The third proportional to 35,784.07 and 55,436.06 is: 85,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.07 : 55,436.06 = 55,436.06 : x
  2. Step 2: Convert to fraction form
    35,784.07/55,436.06 = 55,436.06/x
  3. Step 3: Cross multiply
    35,784.07x = 55,436.06 × 55,436.06
  4. Step 4: Simplify right side
    35,784.07x = 3,073,157,025.50
  5. Step 5: Solve for x
    x = 3,073,157,025.50/35,784.07
  6. Step 6: Final answer
    x = 85,880.59

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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.