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Finding the Third Proportional to 10,103.06 and 21,483.56

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Solution

The third proportional to 10,103.06 and 21,483.56 is: 45,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.06 : 21,483.56 = 21,483.56 : x
  2. Step 2: Convert to fraction form
    10,103.06/21,483.56 = 21,483.56/x
  3. Step 3: Cross multiply
    10,103.06x = 21,483.56 × 21,483.56
  4. Step 4: Simplify right side
    10,103.06x = 461,543,457.69
  5. Step 5: Solve for x
    x = 461,543,457.69/10,103.06
  6. Step 6: Final answer
    x = 45,683.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.