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Finding the Third Proportional to 27,135 and 65,360.25

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Solution

The third proportional to 27,135 and 65,360.25 is: 157,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135 : 65,360.25 = 65,360.25 : x
  2. Step 2: Convert to fraction form
    27,135/65,360.25 = 65,360.25/x
  3. Step 3: Cross multiply
    27,135x = 65,360.25 × 65,360.25
  4. Step 4: Simplify right side
    27,135x = 4,271,962,280.06
  5. Step 5: Solve for x
    x = 4,271,962,280.06/27,135
  6. Step 6: Final answer
    x = 157,433.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.