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Finding the Third Proportional to 41,994 and 63,658

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Solution

The third proportional to 41,994 and 63,658 is: 96,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,994 : 63,658 = 63,658 : x
  2. Step 2: Convert to fraction form
    41,994/63,658 = 63,658/x
  3. Step 3: Cross multiply
    41,994x = 63,658 × 63,658
  4. Step 4: Simplify right side
    41,994x = 4,052,340,964
  5. Step 5: Solve for x
    x = 4,052,340,964/41,994
  6. Step 6: Final answer
    x = 96,498.09

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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.