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Finding the Third Proportional to 40,416 and 63,962

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Solution

The third proportional to 40,416 and 63,962 is: 101,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,416 : 63,962 = 63,962 : x
  2. Step 2: Convert to fraction form
    40,416/63,962 = 63,962/x
  3. Step 3: Cross multiply
    40,416x = 63,962 × 63,962
  4. Step 4: Simplify right side
    40,416x = 4,091,137,444
  5. Step 5: Solve for x
    x = 4,091,137,444/40,416
  6. Step 6: Final answer
    x = 101,225.69

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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.