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Finding the Third Proportional to 29,738 and 64,948

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Solution

The third proportional to 29,738 and 64,948 is: 141,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738 : 64,948 = 64,948 : x
  2. Step 2: Convert to fraction form
    29,738/64,948 = 64,948/x
  3. Step 3: Cross multiply
    29,738x = 64,948 × 64,948
  4. Step 4: Simplify right side
    29,738x = 4,218,242,704
  5. Step 5: Solve for x
    x = 4,218,242,704/29,738
  6. Step 6: Final answer
    x = 141,846.89

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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.