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Finding the Third Proportional to 49,569 and 71,037

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Solution

The third proportional to 49,569 and 71,037 is: 101,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,569 : 71,037 = 71,037 : x
  2. Step 2: Convert to fraction form
    49,569/71,037 = 71,037/x
  3. Step 3: Cross multiply
    49,569x = 71,037 × 71,037
  4. Step 4: Simplify right side
    49,569x = 5,046,255,369
  5. Step 5: Solve for x
    x = 5,046,255,369/49,569
  6. Step 6: Final answer
    x = 101,802.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.