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Finding the Third Proportional to 34,581 and 54,896

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Solution

The third proportional to 34,581 and 54,896 is: 87,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581 : 54,896 = 54,896 : x
  2. Step 2: Convert to fraction form
    34,581/54,896 = 54,896/x
  3. Step 3: Cross multiply
    34,581x = 54,896 × 54,896
  4. Step 4: Simplify right side
    34,581x = 3,013,570,816
  5. Step 5: Solve for x
    x = 3,013,570,816/34,581
  6. Step 6: Final answer
    x = 87,145.28

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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.