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Finding the Third Proportional to 10,103.48 and 21,303.32

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Solution

The third proportional to 10,103.48 and 21,303.32 is: 44,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.48 : 21,303.32 = 21,303.32 : x
  2. Step 2: Convert to fraction form
    10,103.48/21,303.32 = 21,303.32/x
  3. Step 3: Cross multiply
    10,103.48x = 21,303.32 × 21,303.32
  4. Step 4: Simplify right side
    10,103.48x = 453,831,289.90
  5. Step 5: Solve for x
    x = 453,831,289.90/10,103.48
  6. Step 6: Final answer
    x = 44,918.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.