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Finding the Third Proportional to 10,383.19 and 23,707.69

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Solution

The third proportional to 10,383.19 and 23,707.69 is: 54,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.19 : 23,707.69 = 23,707.69 : x
  2. Step 2: Convert to fraction form
    10,383.19/23,707.69 = 23,707.69/x
  3. Step 3: Cross multiply
    10,383.19x = 23,707.69 × 23,707.69
  4. Step 4: Simplify right side
    10,383.19x = 562,054,446.60
  5. Step 5: Solve for x
    x = 562,054,446.60/10,383.19
  6. Step 6: Final answer
    x = 54,131.20

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.