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Finding the Third Proportional to 29,830 and 47,481

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Solution

The third proportional to 29,830 and 47,481 is: 75,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830 : 47,481 = 47,481 : x
  2. Step 2: Convert to fraction form
    29,830/47,481 = 47,481/x
  3. Step 3: Cross multiply
    29,830x = 47,481 × 47,481
  4. Step 4: Simplify right side
    29,830x = 2,254,445,361
  5. Step 5: Solve for x
    x = 2,254,445,361/29,830
  6. Step 6: Final answer
    x = 75,576.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.