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Finding the Third Proportional to 10,012.78 and 21,832.03

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Solution

The third proportional to 10,012.78 and 21,832.03 is: 47,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.78 : 21,832.03 = 21,832.03 : x
  2. Step 2: Convert to fraction form
    10,012.78/21,832.03 = 21,832.03/x
  3. Step 3: Cross multiply
    10,012.78x = 21,832.03 × 21,832.03
  4. Step 4: Simplify right side
    10,012.78x = 476,637,588.50
  5. Step 5: Solve for x
    x = 476,637,588.50/10,012.78
  6. Step 6: Final answer
    x = 47,602.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.