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Finding the Third Proportional to 29,912 and 63,470

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Solution

The third proportional to 29,912 and 63,470 is: 134,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912 : 63,470 = 63,470 : x
  2. Step 2: Convert to fraction form
    29,912/63,470 = 63,470/x
  3. Step 3: Cross multiply
    29,912x = 63,470 × 63,470
  4. Step 4: Simplify right side
    29,912x = 4,028,440,900
  5. Step 5: Solve for x
    x = 4,028,440,900/29,912
  6. Step 6: Final answer
    x = 134,676.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.