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Finding the Third Proportional to 48,670 and 53,790

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Solution

The third proportional to 48,670 and 53,790 is: 59,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,670 : 53,790 = 53,790 : x
  2. Step 2: Convert to fraction form
    48,670/53,790 = 53,790/x
  3. Step 3: Cross multiply
    48,670x = 53,790 × 53,790
  4. Step 4: Simplify right side
    48,670x = 2,893,364,100
  5. Step 5: Solve for x
    x = 2,893,364,100/48,670
  6. Step 6: Final answer
    x = 59,448.62

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.