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Finding the Third Proportional to 25,366 and 58,457

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Solution

The third proportional to 25,366 and 58,457 is: 134,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,366 : 58,457 = 58,457 : x
  2. Step 2: Convert to fraction form
    25,366/58,457 = 58,457/x
  3. Step 3: Cross multiply
    25,366x = 58,457 × 58,457
  4. Step 4: Simplify right side
    25,366x = 3,417,220,849
  5. Step 5: Solve for x
    x = 3,417,220,849/25,366
  6. Step 6: Final answer
    x = 134,716.58

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.