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Finding the Third Proportional to 29,476 and 45,111

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Solution

The third proportional to 29,476 and 45,111 is: 69,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,476 : 45,111 = 45,111 : x
  2. Step 2: Convert to fraction form
    29,476/45,111 = 45,111/x
  3. Step 3: Cross multiply
    29,476x = 45,111 × 45,111
  4. Step 4: Simplify right side
    29,476x = 2,035,002,321
  5. Step 5: Solve for x
    x = 2,035,002,321/29,476
  6. Step 6: Final answer
    x = 69,039.30

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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.