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Finding the Third Proportional to 20,284 and 30,342

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Solution

The third proportional to 20,284 and 30,342 is: 45,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 30,342 = 30,342 : x
  2. Step 2: Convert to fraction form
    20,284/30,342 = 30,342/x
  3. Step 3: Cross multiply
    20,284x = 30,342 × 30,342
  4. Step 4: Simplify right side
    20,284x = 920,636,964
  5. Step 5: Solve for x
    x = 920,636,964/20,284
  6. Step 6: Final answer
    x = 45,387.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.