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Finding the Third Proportional to 35,217.28 and 72,054.56

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Solution

The third proportional to 35,217.28 and 72,054.56 is: 147,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,217.28 : 72,054.56 = 72,054.56 : x
  2. Step 2: Convert to fraction form
    35,217.28/72,054.56 = 72,054.56/x
  3. Step 3: Cross multiply
    35,217.28x = 72,054.56 × 72,054.56
  4. Step 4: Simplify right side
    35,217.28x = 5,191,859,977.07
  5. Step 5: Solve for x
    x = 5,191,859,977.07/35,217.28
  6. Step 6: Final answer
    x = 147,423.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.