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Finding the Third Proportional to 35,028 and 47,195.25

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Solution

The third proportional to 35,028 and 47,195.25 is: 63,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,028 : 47,195.25 = 47,195.25 : x
  2. Step 2: Convert to fraction form
    35,028/47,195.25 = 47,195.25/x
  3. Step 3: Cross multiply
    35,028x = 47,195.25 × 47,195.25
  4. Step 4: Simplify right side
    35,028x = 2,227,391,622.56
  5. Step 5: Solve for x
    x = 2,227,391,622.56/35,028
  6. Step 6: Final answer
    x = 63,588.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.