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Finding the Third Proportional to 18,692 and 40,342

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Solution

The third proportional to 18,692 and 40,342 is: 87,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,692 : 40,342 = 40,342 : x
  2. Step 2: Convert to fraction form
    18,692/40,342 = 40,342/x
  3. Step 3: Cross multiply
    18,692x = 40,342 × 40,342
  4. Step 4: Simplify right side
    18,692x = 1,627,476,964
  5. Step 5: Solve for x
    x = 1,627,476,964/18,692
  6. Step 6: Final answer
    x = 87,068.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.