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Finding the Third Proportional to 4,632.19 and 10,140.19

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Solution

The third proportional to 4,632.19 and 10,140.19 is: 22,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.19 : 10,140.19 = 10,140.19 : x
  2. Step 2: Convert to fraction form
    4,632.19/10,140.19 = 10,140.19/x
  3. Step 3: Cross multiply
    4,632.19x = 10,140.19 × 10,140.19
  4. Step 4: Simplify right side
    4,632.19x = 102,823,402.54
  5. Step 5: Solve for x
    x = 102,823,402.54/4,632.19
  6. Step 6: Final answer
    x = 22,197.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.