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Finding the Third Proportional to 8,386.03 and 10,898.30

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Solution

The third proportional to 8,386.03 and 10,898.30 is: 14,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.03 : 10,898.30 = 10,898.30 : x
  2. Step 2: Convert to fraction form
    8,386.03/10,898.30 = 10,898.30/x
  3. Step 3: Cross multiply
    8,386.03x = 10,898.30 × 10,898.30
  4. Step 4: Simplify right side
    8,386.03x = 118,772,874.78
  5. Step 5: Solve for x
    x = 118,772,874.78/8,386.03
  6. Step 6: Final answer
    x = 14,163.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.