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Finding the Third Proportional to 40,203 and 63,716.63

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Solution

The third proportional to 40,203 and 63,716.63 is: 100,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,203 : 63,716.63 = 63,716.63 : x
  2. Step 2: Convert to fraction form
    40,203/63,716.63 = 63,716.63/x
  3. Step 3: Cross multiply
    40,203x = 63,716.63 × 63,716.63
  4. Step 4: Simplify right side
    40,203x = 4,059,808,301.39
  5. Step 5: Solve for x
    x = 4,059,808,301.39/40,203
  6. Step 6: Final answer
    x = 100,982.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.