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Finding the Third Proportional to 48,583 and 71,485

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Solution

The third proportional to 48,583 and 71,485 is: 105,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,583 : 71,485 = 71,485 : x
  2. Step 2: Convert to fraction form
    48,583/71,485 = 71,485/x
  3. Step 3: Cross multiply
    48,583x = 71,485 × 71,485
  4. Step 4: Simplify right side
    48,583x = 5,110,105,225
  5. Step 5: Solve for x
    x = 5,110,105,225/48,583
  6. Step 6: Final answer
    x = 105,182.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.