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Finding the Third Proportional to 40,898 and 63,299

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Solution

The third proportional to 40,898 and 63,299 is: 97,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,898 : 63,299 = 63,299 : x
  2. Step 2: Convert to fraction form
    40,898/63,299 = 63,299/x
  3. Step 3: Cross multiply
    40,898x = 63,299 × 63,299
  4. Step 4: Simplify right side
    40,898x = 4,006,763,401
  5. Step 5: Solve for x
    x = 4,006,763,401/40,898
  6. Step 6: Final answer
    x = 97,969.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.