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Finding the Third Proportional to 29,403 and 64,638

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Solution

The third proportional to 29,403 and 64,638 is: 142,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403 : 64,638 = 64,638 : x
  2. Step 2: Convert to fraction form
    29,403/64,638 = 64,638/x
  3. Step 3: Cross multiply
    29,403x = 64,638 × 64,638
  4. Step 4: Simplify right side
    29,403x = 4,178,071,044
  5. Step 5: Solve for x
    x = 4,178,071,044/29,403
  6. Step 6: Final answer
    x = 142,096.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.