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Finding the Third Proportional to 40,305 and 63,549

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Solution

The third proportional to 40,305 and 63,549 is: 100,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,305 : 63,549 = 63,549 : x
  2. Step 2: Convert to fraction form
    40,305/63,549 = 63,549/x
  3. Step 3: Cross multiply
    40,305x = 63,549 × 63,549
  4. Step 4: Simplify right side
    40,305x = 4,038,475,401
  5. Step 5: Solve for x
    x = 4,038,475,401/40,305
  6. Step 6: Final answer
    x = 100,197.88

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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.