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Finding the Third Proportional to 28,972 and 43,330

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Solution

The third proportional to 28,972 and 43,330 is: 64,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972 : 43,330 = 43,330 : x
  2. Step 2: Convert to fraction form
    28,972/43,330 = 43,330/x
  3. Step 3: Cross multiply
    28,972x = 43,330 × 43,330
  4. Step 4: Simplify right side
    28,972x = 1,877,488,900
  5. Step 5: Solve for x
    x = 1,877,488,900/28,972
  6. Step 6: Final answer
    x = 64,803.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.