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Finding the Third Proportional to 43,916 and 66,260

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Solution

The third proportional to 43,916 and 66,260 is: 99,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,916 : 66,260 = 66,260 : x
  2. Step 2: Convert to fraction form
    43,916/66,260 = 66,260/x
  3. Step 3: Cross multiply
    43,916x = 66,260 × 66,260
  4. Step 4: Simplify right side
    43,916x = 4,390,387,600
  5. Step 5: Solve for x
    x = 4,390,387,600/43,916
  6. Step 6: Final answer
    x = 99,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.