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Finding the Third Proportional to 35,693.50 and 55,111.75

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Solution

The third proportional to 35,693.50 and 55,111.75 is: 85,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693.50 : 55,111.75 = 55,111.75 : x
  2. Step 2: Convert to fraction form
    35,693.50/55,111.75 = 55,111.75/x
  3. Step 3: Cross multiply
    35,693.50x = 55,111.75 × 55,111.75
  4. Step 4: Simplify right side
    35,693.50x = 3,037,304,988.06
  5. Step 5: Solve for x
    x = 3,037,304,988.06/35,693.50
  6. Step 6: Final answer
    x = 85,094.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.