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Finding the Third Proportional to 25,234.88 and 53,082

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Solution

The third proportional to 25,234.88 and 53,082 is: 111,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.88 : 53,082 = 53,082 : x
  2. Step 2: Convert to fraction form
    25,234.88/53,082 = 53,082/x
  3. Step 3: Cross multiply
    25,234.88x = 53,082 × 53,082
  4. Step 4: Simplify right side
    25,234.88x = 2,817,698,724
  5. Step 5: Solve for x
    x = 2,817,698,724/25,234.88
  6. Step 6: Final answer
    x = 111,658.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.