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Finding the Third Proportional to 25,382 and 55,700

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Solution

The third proportional to 25,382 and 55,700 is: 122,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382 : 55,700 = 55,700 : x
  2. Step 2: Convert to fraction form
    25,382/55,700 = 55,700/x
  3. Step 3: Cross multiply
    25,382x = 55,700 × 55,700
  4. Step 4: Simplify right side
    25,382x = 3,102,490,000
  5. Step 5: Solve for x
    x = 3,102,490,000/25,382
  6. Step 6: Final answer
    x = 122,231.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.