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Finding the Third Proportional to 29,764 and 44,948

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Solution

The third proportional to 29,764 and 44,948 is: 67,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764 : 44,948 = 44,948 : x
  2. Step 2: Convert to fraction form
    29,764/44,948 = 44,948/x
  3. Step 3: Cross multiply
    29,764x = 44,948 × 44,948
  4. Step 4: Simplify right side
    29,764x = 2,020,322,704
  5. Step 5: Solve for x
    x = 2,020,322,704/29,764
  6. Step 6: Final answer
    x = 67,878.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.