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Finding the Third Proportional to 4,978.13 and 9,622.13

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Solution

The third proportional to 4,978.13 and 9,622.13 is: 18,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.13 : 9,622.13 = 9,622.13 : x
  2. Step 2: Convert to fraction form
    4,978.13/9,622.13 = 9,622.13/x
  3. Step 3: Cross multiply
    4,978.13x = 9,622.13 × 9,622.13
  4. Step 4: Simplify right side
    4,978.13x = 92,585,289.52
  5. Step 5: Solve for x
    x = 92,585,289.52/4,978.13
  6. Step 6: Final answer
    x = 18,598.43

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.