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Finding the Third Proportional to 29,435 and 69,442

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Solution

The third proportional to 29,435 and 69,442 is: 163,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,435 : 69,442 = 69,442 : x
  2. Step 2: Convert to fraction form
    29,435/69,442 = 69,442/x
  3. Step 3: Cross multiply
    29,435x = 69,442 × 69,442
  4. Step 4: Simplify right side
    29,435x = 4,822,191,364
  5. Step 5: Solve for x
    x = 4,822,191,364/29,435
  6. Step 6: Final answer
    x = 163,825.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.