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Finding the Third Proportional to 41,946 and 63,532

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Solution

The third proportional to 41,946 and 63,532 is: 96,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,946 : 63,532 = 63,532 : x
  2. Step 2: Convert to fraction form
    41,946/63,532 = 63,532/x
  3. Step 3: Cross multiply
    41,946x = 63,532 × 63,532
  4. Step 4: Simplify right side
    41,946x = 4,036,315,024
  5. Step 5: Solve for x
    x = 4,036,315,024/41,946
  6. Step 6: Final answer
    x = 96,226.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.