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Finding the Third Proportional to 12,457.13 and 25,633.13

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Solution

The third proportional to 12,457.13 and 25,633.13 is: 52,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.13 : 25,633.13 = 25,633.13 : x
  2. Step 2: Convert to fraction form
    12,457.13/25,633.13 = 25,633.13/x
  3. Step 3: Cross multiply
    12,457.13x = 25,633.13 × 25,633.13
  4. Step 4: Simplify right side
    12,457.13x = 657,057,097.27
  5. Step 5: Solve for x
    x = 657,057,097.27/12,457.13
  6. Step 6: Final answer
    x = 52,745.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.