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Finding the Third Proportional to 29,938 and 72,352

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Solution

The third proportional to 29,938 and 72,352 is: 174,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938 : 72,352 = 72,352 : x
  2. Step 2: Convert to fraction form
    29,938/72,352 = 72,352/x
  3. Step 3: Cross multiply
    29,938x = 72,352 × 72,352
  4. Step 4: Simplify right side
    29,938x = 5,234,811,904
  5. Step 5: Solve for x
    x = 5,234,811,904/29,938
  6. Step 6: Final answer
    x = 174,855.10

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.