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Finding the Third Proportional to 18,306 and 39,748

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Solution

The third proportional to 18,306 and 39,748 is: 86,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306 : 39,748 = 39,748 : x
  2. Step 2: Convert to fraction form
    18,306/39,748 = 39,748/x
  3. Step 3: Cross multiply
    18,306x = 39,748 × 39,748
  4. Step 4: Simplify right side
    18,306x = 1,579,903,504
  5. Step 5: Solve for x
    x = 1,579,903,504/18,306
  6. Step 6: Final answer
    x = 86,305.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.