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Finding the Third Proportional to 27,941.50 and 59,878

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Solution

The third proportional to 27,941.50 and 59,878 is: 128,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.50 : 59,878 = 59,878 : x
  2. Step 2: Convert to fraction form
    27,941.50/59,878 = 59,878/x
  3. Step 3: Cross multiply
    27,941.50x = 59,878 × 59,878
  4. Step 4: Simplify right side
    27,941.50x = 3,585,374,884
  5. Step 5: Solve for x
    x = 3,585,374,884/27,941.50
  6. Step 6: Final answer
    x = 128,317.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.