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Finding the Third Proportional to 35,643.38 and 55,436.06

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Solution

The third proportional to 35,643.38 and 55,436.06 is: 86,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.38 : 55,436.06 = 55,436.06 : x
  2. Step 2: Convert to fraction form
    35,643.38/55,436.06 = 55,436.06/x
  3. Step 3: Cross multiply
    35,643.38x = 55,436.06 × 55,436.06
  4. Step 4: Simplify right side
    35,643.38x = 3,073,157,025.50
  5. Step 5: Solve for x
    x = 3,073,157,025.50/35,643.38
  6. Step 6: Final answer
    x = 86,219.59

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Why These Related Problems?

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