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Finding the Third Proportional to 27,607.50 and 43,785

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Solution

The third proportional to 27,607.50 and 43,785 is: 69,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.50 : 43,785 = 43,785 : x
  2. Step 2: Convert to fraction form
    27,607.50/43,785 = 43,785/x
  3. Step 3: Cross multiply
    27,607.50x = 43,785 × 43,785
  4. Step 4: Simplify right side
    27,607.50x = 1,917,126,225
  5. Step 5: Solve for x
    x = 1,917,126,225/27,607.50
  6. Step 6: Final answer
    x = 69,442.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.