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Finding the Third Proportional to 10,252.50 and 21,781

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Solution

The third proportional to 10,252.50 and 21,781 is: 46,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.50 : 21,781 = 21,781 : x
  2. Step 2: Convert to fraction form
    10,252.50/21,781 = 21,781/x
  3. Step 3: Cross multiply
    10,252.50x = 21,781 × 21,781
  4. Step 4: Simplify right side
    10,252.50x = 474,411,961
  5. Step 5: Solve for x
    x = 474,411,961/10,252.50
  6. Step 6: Final answer
    x = 46,272.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.