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Finding the Third Proportional to 44,543 and 66,598

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Solution

The third proportional to 44,543 and 66,598 is: 99,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,543 : 66,598 = 66,598 : x
  2. Step 2: Convert to fraction form
    44,543/66,598 = 66,598/x
  3. Step 3: Cross multiply
    44,543x = 66,598 × 66,598
  4. Step 4: Simplify right side
    44,543x = 4,435,293,604
  5. Step 5: Solve for x
    x = 4,435,293,604/44,543
  6. Step 6: Final answer
    x = 99,573.30

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Why These Related Problems?

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