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Finding the Third Proportional to 27,721.50 and 65,085

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Solution

The third proportional to 27,721.50 and 65,085 is: 152,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721.50 : 65,085 = 65,085 : x
  2. Step 2: Convert to fraction form
    27,721.50/65,085 = 65,085/x
  3. Step 3: Cross multiply
    27,721.50x = 65,085 × 65,085
  4. Step 4: Simplify right side
    27,721.50x = 4,236,057,225
  5. Step 5: Solve for x
    x = 4,236,057,225/27,721.50
  6. Step 6: Final answer
    x = 152,807.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.