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Finding the Third Proportional to 35,219.81 and 75,446.44

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Solution

The third proportional to 35,219.81 and 75,446.44 is: 161,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.81 : 75,446.44 = 75,446.44 : x
  2. Step 2: Convert to fraction form
    35,219.81/75,446.44 = 75,446.44/x
  3. Step 3: Cross multiply
    35,219.81x = 75,446.44 × 75,446.44
  4. Step 4: Simplify right side
    35,219.81x = 5,692,164,931.44
  5. Step 5: Solve for x
    x = 5,692,164,931.44/35,219.81
  6. Step 6: Final answer
    x = 161,618.26

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Why These Related Problems?

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