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Finding the Third Proportional to 29,671 and 45,388

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Solution

The third proportional to 29,671 and 45,388 is: 69,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671 : 45,388 = 45,388 : x
  2. Step 2: Convert to fraction form
    29,671/45,388 = 45,388/x
  3. Step 3: Cross multiply
    29,671x = 45,388 × 45,388
  4. Step 4: Simplify right side
    29,671x = 2,060,070,544
  5. Step 5: Solve for x
    x = 2,060,070,544/29,671
  6. Step 6: Final answer
    x = 69,430.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.