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Finding the Third Proportional to 54,774 and 60,534

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Solution

The third proportional to 54,774 and 60,534 is: 66,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774 : 60,534 = 60,534 : x
  2. Step 2: Convert to fraction form
    54,774/60,534 = 60,534/x
  3. Step 3: Cross multiply
    54,774x = 60,534 × 60,534
  4. Step 4: Simplify right side
    54,774x = 3,664,365,156
  5. Step 5: Solve for x
    x = 3,664,365,156/54,774
  6. Step 6: Final answer
    x = 66,899.72

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.