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Finding the Third Proportional to 11,545 and 24,935

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Solution

The third proportional to 11,545 and 24,935 is: 53,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545 : 24,935 = 24,935 : x
  2. Step 2: Convert to fraction form
    11,545/24,935 = 24,935/x
  3. Step 3: Cross multiply
    11,545x = 24,935 × 24,935
  4. Step 4: Simplify right side
    11,545x = 621,754,225
  5. Step 5: Solve for x
    x = 621,754,225/11,545
  6. Step 6: Final answer
    x = 53,854.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.