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Finding the Third Proportional to 40,930 and 63,203

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Solution

The third proportional to 40,930 and 63,203 is: 97,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930 : 63,203 = 63,203 : x
  2. Step 2: Convert to fraction form
    40,930/63,203 = 63,203/x
  3. Step 3: Cross multiply
    40,930x = 63,203 × 63,203
  4. Step 4: Simplify right side
    40,930x = 3,994,619,209
  5. Step 5: Solve for x
    x = 3,994,619,209/40,930
  6. Step 6: Final answer
    x = 97,596.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.