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Finding the Third Proportional to 24,747 and 53,935

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Solution

The third proportional to 24,747 and 53,935 is: 117,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747 : 53,935 = 53,935 : x
  2. Step 2: Convert to fraction form
    24,747/53,935 = 53,935/x
  3. Step 3: Cross multiply
    24,747x = 53,935 × 53,935
  4. Step 4: Simplify right side
    24,747x = 2,908,984,225
  5. Step 5: Solve for x
    x = 2,908,984,225/24,747
  6. Step 6: Final answer
    x = 117,548.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.