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Finding the Third Proportional to 48,681 and 73,935

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Solution

The third proportional to 48,681 and 73,935 is: 112,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 73,935 = 73,935 : x
  2. Step 2: Convert to fraction form
    48,681/73,935 = 73,935/x
  3. Step 3: Cross multiply
    48,681x = 73,935 × 73,935
  4. Step 4: Simplify right side
    48,681x = 5,466,384,225
  5. Step 5: Solve for x
    x = 5,466,384,225/48,681
  6. Step 6: Final answer
    x = 112,289.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.