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Finding the Third Proportional to 30,264 and 66,498

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Solution

The third proportional to 30,264 and 66,498 is: 146,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264 : 66,498 = 66,498 : x
  2. Step 2: Convert to fraction form
    30,264/66,498 = 66,498/x
  3. Step 3: Cross multiply
    30,264x = 66,498 × 66,498
  4. Step 4: Simplify right side
    30,264x = 4,421,984,004
  5. Step 5: Solve for x
    x = 4,421,984,004/30,264
  6. Step 6: Final answer
    x = 146,113.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.