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Finding the Third Proportional to 25,857.56 and 38,300.34

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Solution

The third proportional to 25,857.56 and 38,300.34 is: 56,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.56 : 38,300.34 = 38,300.34 : x
  2. Step 2: Convert to fraction form
    25,857.56/38,300.34 = 38,300.34/x
  3. Step 3: Cross multiply
    25,857.56x = 38,300.34 × 38,300.34
  4. Step 4: Simplify right side
    25,857.56x = 1,466,916,331.37
  5. Step 5: Solve for x
    x = 1,466,916,331.37/25,857.56
  6. Step 6: Final answer
    x = 56,730.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.