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Finding the Third Proportional to 20,246 and 29,705

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Solution

The third proportional to 20,246 and 29,705 is: 43,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,246 : 29,705 = 29,705 : x
  2. Step 2: Convert to fraction form
    20,246/29,705 = 29,705/x
  3. Step 3: Cross multiply
    20,246x = 29,705 × 29,705
  4. Step 4: Simplify right side
    20,246x = 882,387,025
  5. Step 5: Solve for x
    x = 882,387,025/20,246
  6. Step 6: Final answer
    x = 43,583.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.