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Finding the Third Proportional to 25,326 and 58,633

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Solution

The third proportional to 25,326 and 58,633 is: 135,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,326 : 58,633 = 58,633 : x
  2. Step 2: Convert to fraction form
    25,326/58,633 = 58,633/x
  3. Step 3: Cross multiply
    25,326x = 58,633 × 58,633
  4. Step 4: Simplify right side
    25,326x = 3,437,828,689
  5. Step 5: Solve for x
    x = 3,437,828,689/25,326
  6. Step 6: Final answer
    x = 135,743.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.