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Finding the Third Proportional to 28,898 and 45,771

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Solution

The third proportional to 28,898 and 45,771 is: 72,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,898 : 45,771 = 45,771 : x
  2. Step 2: Convert to fraction form
    28,898/45,771 = 45,771/x
  3. Step 3: Cross multiply
    28,898x = 45,771 × 45,771
  4. Step 4: Simplify right side
    28,898x = 2,094,984,441
  5. Step 5: Solve for x
    x = 2,094,984,441/28,898
  6. Step 6: Final answer
    x = 72,495.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.