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Finding the Third Proportional to 40,506 and 61,299

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Solution

The third proportional to 40,506 and 61,299 is: 92,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,506 : 61,299 = 61,299 : x
  2. Step 2: Convert to fraction form
    40,506/61,299 = 61,299/x
  3. Step 3: Cross multiply
    40,506x = 61,299 × 61,299
  4. Step 4: Simplify right side
    40,506x = 3,757,567,401
  5. Step 5: Solve for x
    x = 3,757,567,401/40,506
  6. Step 6: Final answer
    x = 92,765.70

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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.