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Finding the Third Proportional to 56,487 and 74,991

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Solution

The third proportional to 56,487 and 74,991 is: 99,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,487 : 74,991 = 74,991 : x
  2. Step 2: Convert to fraction form
    56,487/74,991 = 74,991/x
  3. Step 3: Cross multiply
    56,487x = 74,991 × 74,991
  4. Step 4: Simplify right side
    56,487x = 5,623,650,081
  5. Step 5: Solve for x
    x = 5,623,650,081/56,487
  6. Step 6: Final answer
    x = 99,556.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.