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Finding the Third Proportional to 27,411.75 and 59,895.75

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Solution

The third proportional to 27,411.75 and 59,895.75 is: 130,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.75 : 59,895.75 = 59,895.75 : x
  2. Step 2: Convert to fraction form
    27,411.75/59,895.75 = 59,895.75/x
  3. Step 3: Cross multiply
    27,411.75x = 59,895.75 × 59,895.75
  4. Step 4: Simplify right side
    27,411.75x = 3,587,500,868.06
  5. Step 5: Solve for x
    x = 3,587,500,868.06/27,411.75
  6. Step 6: Final answer
    x = 130,874.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.