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Finding the Third Proportional to 29,592 and 64,407

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Solution

The third proportional to 29,592 and 64,407 is: 140,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,592 : 64,407 = 64,407 : x
  2. Step 2: Convert to fraction form
    29,592/64,407 = 64,407/x
  3. Step 3: Cross multiply
    29,592x = 64,407 × 64,407
  4. Step 4: Simplify right side
    29,592x = 4,148,261,649
  5. Step 5: Solve for x
    x = 4,148,261,649/29,592
  6. Step 6: Final answer
    x = 140,181.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.