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Finding the Third Proportional to 35,247 and 54,598.50

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Solution

The third proportional to 35,247 and 54,598.50 is: 84,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,247 : 54,598.50 = 54,598.50 : x
  2. Step 2: Convert to fraction form
    35,247/54,598.50 = 54,598.50/x
  3. Step 3: Cross multiply
    35,247x = 54,598.50 × 54,598.50
  4. Step 4: Simplify right side
    35,247x = 2,980,996,202.25
  5. Step 5: Solve for x
    x = 2,980,996,202.25/35,247
  6. Step 6: Final answer
    x = 84,574.47

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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.