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Finding the Third Proportional to 25,889.63 and 53,622

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Solution

The third proportional to 25,889.63 and 53,622 is: 111,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.63 : 53,622 = 53,622 : x
  2. Step 2: Convert to fraction form
    25,889.63/53,622 = 53,622/x
  3. Step 3: Cross multiply
    25,889.63x = 53,622 × 53,622
  4. Step 4: Simplify right side
    25,889.63x = 2,875,318,884
  5. Step 5: Solve for x
    x = 2,875,318,884/25,889.63
  6. Step 6: Final answer
    x = 111,060.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.