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Finding the Third Proportional to 41,635 and 63,495

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Solution

The third proportional to 41,635 and 63,495 is: 96,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,635 : 63,495 = 63,495 : x
  2. Step 2: Convert to fraction form
    41,635/63,495 = 63,495/x
  3. Step 3: Cross multiply
    41,635x = 63,495 × 63,495
  4. Step 4: Simplify right side
    41,635x = 4,031,615,025
  5. Step 5: Solve for x
    x = 4,031,615,025/41,635
  6. Step 6: Final answer
    x = 96,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.