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Finding the Third Proportional to 30,476 and 48,665

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Solution

The third proportional to 30,476 and 48,665 is: 77,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476 : 48,665 = 48,665 : x
  2. Step 2: Convert to fraction form
    30,476/48,665 = 48,665/x
  3. Step 3: Cross multiply
    30,476x = 48,665 × 48,665
  4. Step 4: Simplify right side
    30,476x = 2,368,282,225
  5. Step 5: Solve for x
    x = 2,368,282,225/30,476
  6. Step 6: Final answer
    x = 77,709.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.