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Finding the Third Proportional to 56,457 and 74,945.25

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Solution

The third proportional to 56,457 and 74,945.25 is: 99,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,457 : 74,945.25 = 74,945.25 : x
  2. Step 2: Convert to fraction form
    56,457/74,945.25 = 74,945.25/x
  3. Step 3: Cross multiply
    56,457x = 74,945.25 × 74,945.25
  4. Step 4: Simplify right side
    56,457x = 5,616,790,497.56
  5. Step 5: Solve for x
    x = 5,616,790,497.56/56,457
  6. Step 6: Final answer
    x = 99,487.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.