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Finding the Third Proportional to 29,672 and 60,445

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Solution

The third proportional to 29,672 and 60,445 is: 123,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672 : 60,445 = 60,445 : x
  2. Step 2: Convert to fraction form
    29,672/60,445 = 60,445/x
  3. Step 3: Cross multiply
    29,672x = 60,445 × 60,445
  4. Step 4: Simplify right side
    29,672x = 3,653,598,025
  5. Step 5: Solve for x
    x = 3,653,598,025/29,672
  6. Step 6: Final answer
    x = 123,132.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.