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Finding the Third Proportional to 25,321 and 58,617

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Solution

The third proportional to 25,321 and 58,617 is: 135,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321 : 58,617 = 58,617 : x
  2. Step 2: Convert to fraction form
    25,321/58,617 = 58,617/x
  3. Step 3: Cross multiply
    25,321x = 58,617 × 58,617
  4. Step 4: Simplify right side
    25,321x = 3,435,952,689
  5. Step 5: Solve for x
    x = 3,435,952,689/25,321
  6. Step 6: Final answer
    x = 135,695.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.