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Finding the Third Proportional to 29,732 and 45,930

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Solution

The third proportional to 29,732 and 45,930 is: 70,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732 : 45,930 = 45,930 : x
  2. Step 2: Convert to fraction form
    29,732/45,930 = 45,930/x
  3. Step 3: Cross multiply
    29,732x = 45,930 × 45,930
  4. Step 4: Simplify right side
    29,732x = 2,109,564,900
  5. Step 5: Solve for x
    x = 2,109,564,900/29,732
  6. Step 6: Final answer
    x = 70,952.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.