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Finding the Third Proportional to 35,017.50 and 74,955

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Solution

The third proportional to 35,017.50 and 74,955 is: 160,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,017.50 : 74,955 = 74,955 : x
  2. Step 2: Convert to fraction form
    35,017.50/74,955 = 74,955/x
  3. Step 3: Cross multiply
    35,017.50x = 74,955 × 74,955
  4. Step 4: Simplify right side
    35,017.50x = 5,618,252,025
  5. Step 5: Solve for x
    x = 5,618,252,025/35,017.50
  6. Step 6: Final answer
    x = 160,441.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.