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Finding the Third Proportional to 48,668 and 53,788

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Solution

The third proportional to 48,668 and 53,788 is: 59,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,668 : 53,788 = 53,788 : x
  2. Step 2: Convert to fraction form
    48,668/53,788 = 53,788/x
  3. Step 3: Cross multiply
    48,668x = 53,788 × 53,788
  4. Step 4: Simplify right side
    48,668x = 2,893,148,944
  5. Step 5: Solve for x
    x = 2,893,148,944/48,668
  6. Step 6: Final answer
    x = 59,446.64

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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.