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Finding the Third Proportional to 10,225.41 and 21,929.06

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Solution

The third proportional to 10,225.41 and 21,929.06 is: 47,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.41 : 21,929.06 = 21,929.06 : x
  2. Step 2: Convert to fraction form
    10,225.41/21,929.06 = 21,929.06/x
  3. Step 3: Cross multiply
    10,225.41x = 21,929.06 × 21,929.06
  4. Step 4: Simplify right side
    10,225.41x = 480,883,782.13
  5. Step 5: Solve for x
    x = 480,883,782.13/10,225.41
  6. Step 6: Final answer
    x = 47,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.