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Finding the Third Proportional to 34,668 and 53,298

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Solution

The third proportional to 34,668 and 53,298 is: 81,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 53,298 = 53,298 : x
  2. Step 2: Convert to fraction form
    34,668/53,298 = 53,298/x
  3. Step 3: Cross multiply
    34,668x = 53,298 × 53,298
  4. Step 4: Simplify right side
    34,668x = 2,840,676,804
  5. Step 5: Solve for x
    x = 2,840,676,804/34,668
  6. Step 6: Final answer
    x = 81,939.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.