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Finding the Third Proportional to 30,024 and 69,498

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Solution

The third proportional to 30,024 and 69,498 is: 160,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 69,498 = 69,498 : x
  2. Step 2: Convert to fraction form
    30,024/69,498 = 69,498/x
  3. Step 3: Cross multiply
    30,024x = 69,498 × 69,498
  4. Step 4: Simplify right side
    30,024x = 4,829,972,004
  5. Step 5: Solve for x
    x = 4,829,972,004/30,024
  6. Step 6: Final answer
    x = 160,870.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.