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Finding the Third Proportional to 41,014 and 63,252

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Solution

The third proportional to 41,014 and 63,252 is: 97,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,014 : 63,252 = 63,252 : x
  2. Step 2: Convert to fraction form
    41,014/63,252 = 63,252/x
  3. Step 3: Cross multiply
    41,014x = 63,252 × 63,252
  4. Step 4: Simplify right side
    41,014x = 4,000,815,504
  5. Step 5: Solve for x
    x = 4,000,815,504/41,014
  6. Step 6: Final answer
    x = 97,547.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.