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Finding the Third Proportional to 44,076 and 62,830

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Solution

The third proportional to 44,076 and 62,830 is: 89,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,076 : 62,830 = 62,830 : x
  2. Step 2: Convert to fraction form
    44,076/62,830 = 62,830/x
  3. Step 3: Cross multiply
    44,076x = 62,830 × 62,830
  4. Step 4: Simplify right side
    44,076x = 3,947,608,900
  5. Step 5: Solve for x
    x = 3,947,608,900/44,076
  6. Step 6: Final answer
    x = 89,563.68

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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.