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Finding the Third Proportional to 4,510.69 and 9,826.31

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Solution

The third proportional to 4,510.69 and 9,826.31 is: 21,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 9,826.31 = 9,826.31 : x
  2. Step 2: Convert to fraction form
    4,510.69/9,826.31 = 9,826.31/x
  3. Step 3: Cross multiply
    4,510.69x = 9,826.31 × 9,826.31
  4. Step 4: Simplify right side
    4,510.69x = 96,556,417.35
  5. Step 5: Solve for x
    x = 96,556,417.35/4,510.69
  6. Step 6: Final answer
    x = 21,406.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.