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Finding the Third Proportional to 15,730 and 33,736

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Solution

The third proportional to 15,730 and 33,736 is: 72,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 33,736 = 33,736 : x
  2. Step 2: Convert to fraction form
    15,730/33,736 = 33,736/x
  3. Step 3: Cross multiply
    15,730x = 33,736 × 33,736
  4. Step 4: Simplify right side
    15,730x = 1,138,117,696
  5. Step 5: Solve for x
    x = 1,138,117,696/15,730
  6. Step 6: Final answer
    x = 72,353.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.