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Finding the Third Proportional to 41,836 and 63,735

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Solution

The third proportional to 41,836 and 63,735 is: 97,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836 : 63,735 = 63,735 : x
  2. Step 2: Convert to fraction form
    41,836/63,735 = 63,735/x
  3. Step 3: Cross multiply
    41,836x = 63,735 × 63,735
  4. Step 4: Simplify right side
    41,836x = 4,062,150,225
  5. Step 5: Solve for x
    x = 4,062,150,225/41,836
  6. Step 6: Final answer
    x = 97,097.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.