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Finding the Third Proportional to 10,125.44 and 21,803.06

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Solution

The third proportional to 10,125.44 and 21,803.06 is: 46,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.44 : 21,803.06 = 21,803.06 : x
  2. Step 2: Convert to fraction form
    10,125.44/21,803.06 = 21,803.06/x
  3. Step 3: Cross multiply
    10,125.44x = 21,803.06 × 21,803.06
  4. Step 4: Simplify right side
    10,125.44x = 475,373,534.38
  5. Step 5: Solve for x
    x = 475,373,534.38/10,125.44
  6. Step 6: Final answer
    x = 46,948.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.